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プロジェクト3 量子シミュレーション研究会

The 36th Quantum Simulation Meeting

Date
March 1, (Friday), 2019
Time
3:00 pm - 5:00 pm
Venue
aser Science Laboratory of RIKEN Wako campus, Meeting room #123/1F
(The Laser Science Laboratory is C32.)
http://www.riken.jp/en/access/wako-map/

Topological quantum simulation with non-Abelian anyons:
A discussion of possible physical implementations and evaluation of Jones polynomials

Dr. Michael Desmond Fraser (Tarucha Group)

Topological quantum systems may exhibit quasi-particle excitations known as non-Abelian anyons, with which unitary operations may be implemented by anyon braiding (exchange). There exist schemes for implementing the unique properties of non-Abelian anyons, via sequential braiding operations to perform fault-tolerant topological quantum information processing. In particular, non-Abelian anyons are naturally suited to finding approximate solutions to the classically hard problem of evaluating Jones polynomials, a knot invariant found in physical problems including topological quantum field theory, DNA reconstruction and other systems.
However, topological systems remain relatively undeveloped as a practical quantum information platform relative to other competing technologies, much of this difficulty arising from both the extreme fragility and relative inaccessibility of these states. In this talk I will present a discussion of various physical systems in which non-Abelian anyons, in particular those of Fibonacci-type, might be realized and exploited in such applications, in addition to describing aspects of the practical implementation of quantum algorithms for evaluating Jones polynomials.

Noise control and dynamics measurement of a quantum-dot system coupled to the environment

Dr. Sen Li (Tarucha Group)

Semiconductor quantum-dots (QDs), representing one of the most controllable quantum systems and having been exploited for spin qubits and quantum simulations, are always subjected to the surrounding environment. In this talk we report our efforts on the noise control and dynamics measurement of spins in a QD system coupled to the environment. On the one hand, to mitigate the magnetic environmental noise from nuclear spins, the feedback control technique is developed and applied to the QDs system, and proved to be very effective in preserving coherence of the spin qubit. On the other hand, the coupling between the QDs and adjacent electron reservoirs can give rise to correlated many-body states, making the QDs system a good platform for studying many-body physics e.g. the Kondo state. We utilize the double-QD system as a two-impurity local system coupled to conduction electrons in the leads. With the manipulation and read-out techniques developed in spin qubit experiments, we investigate the theoretical framework of two-impurity Kondo problem in such a QDs system in a fully controllable way.

The 35th Quantum Simulation Meeting

Date
January 25th (Friday), 2019
Time
3:00 pm - 5:00 pm
Venue
ISSP, The University of Tokyo (Kashiwa Campus)
Meeting Room #612 (Main Building A)
http://www.issp.u-tokyo.ac.jp/maincontents/access_en.html
http://www.issp.u-tokyo.ac.jp/maincontents/campusmap_en.html

Generation and detection of valley polarised currents in bilayer graphene and transition metal dichalcogenides

P. A. Maksym (Kawashima Group, U. Tokyo/U. Leisester)

Interest in valleytronic applications of 2D materials has increased dramatically in the last 2 years [1]. One of the important requirements in this area is a valley filter, that is a device which transmits electrons only when they are in one of the valleys of a 2D material. Two different ways of achieving this are suggested [2]. One is to arrange for electrons in one valley to be reflected from a potential barrier while electrons in the other valley are transmitted. The other is to use valley asymmetric transmission at a pn junction. These filters can be combined in series to detect valley polarisation in the same way that crossed polaroid filters can be used to test for polarisation of light. While existing filter designs [3] have not yet been realised, the suggested filters only depend on components that have already been demonstrated [4] and should be easy to make.

[1] S. A. Vitale et al, Small 14, 1801483 (2018).
[2] P. A. Maksym and H. Aoki, in preparation.
[3] A. Rycerz et al, Nat. Phys. 3, 172 (2007); D. Gunlycke et al, PRL 106, 136806 (2011), for example.
[4] A. W. Barnard et al, Nat. Commun. 8, 15418 (2017); P. Rickhaus et al, APL 107, 251901 (2015).

Momentum-dependent relaxation dynamics in the doped 2D Hubbard model

Sharareh Sayyad (Kawashima Group, U. Tokyo)

We theoretically investigate the effect of chemical doping on the real-time non-equilibrium dynamics of interacting electrons. For this purpose, we have developed a Keldysh generalization of the fluctuation-exchange approximation (FLEX) to explore the time-evolution after interaction ramps in the repulsive Hubbard model on the square lattice.
We shall first present the real-time FLEX algorithm. We then discuss the relaxation dynamics of the system in both electron-doped and hole-doped regimes. In both regimes, the system evolves towards a thermal state that locally satisfies the fluctuation-dissipation theorem. We also describe how the details of the ramp protocol, i.e., duration of the ramp and the final Hubbard interaction, affect the relaxation dynamics of the system towards thermalization. Most importantly, we reveal the momentum-dependent relaxation rate, and trace back its origin to the anisotropic self-energies in the momentum-space.
This work is a collaboration with Naoto Tsuji, Abolhassan Vaezi, Massimo Capone, Martin Eckstein, and Hideo Aoki.

The 34th Quantum Simulation Meeting

Date
November 30th (Friday), 2018
Time
4:00 pm - 6:00 pm
Venue
Chemical Biology Bldg. of RIKEN Wako campus, Seminar Room 408
【EN】http://www.riken.jp/en/access/wako-map/
(The Chemical Biology Bldg. is S02.)

Dynamical signatures of frustrated and unfrustrated XY models using Josephson junction lattice

Dr. Raj Cosmic (Nakamura group)

Vortices of persistent current in superconductors have been considered for a long time as a test-bed for various models including quantum phase transitions. In the past, experiments relying on the current-voltage characteristics at low frequency were limited in their ability to address averaged quantities and out of equilibrium properties. Recent developments in the field of circuit quantum electrodynamics (circuit QED) offer the possibility of probing the system close to equilibrium using weak microwave excitations. In this work, we observe the many-body dynamics of a regular network of small superconducting islands coupled via Josephson junctions using the circuit QED approach. Using this scheme, we report the evidence of the BKT transition in the unfrustrated classical XY model and also report signatures of fully frustrated XY phase transition. We also discuss the results of the BKT transition investigated in the quantum regime. This work provides a different approach for investigating many-body physics at low temperatures, heralding a new paradigm for quantum simulation.

Time-resolved probing of many body states in cavity QED superconducting circuits

Dr. Shulga Kirill (Nakamura group)

Cavity QED (cQED) quantum simulators based on superconducting quantum circuits provide a tool to study of many-body phenomena in strongly interacting spin systems. In this work, we perform experimental studies of time-resolved spin dynamics of superconducting qubits arrays embedded into a superconducting resonator. Such setup allows one to tune both the strength of coupling between adjacent spins and the local parameters of Hamiltonian. We use the superconducting qubit arrays for the demonstration of an occurrence of many-body Rabi oscillations and complex spin dynamics in the dispersion and the resonance regimes with tunable interaction strengths between the qubits and the cavity. In particular, we experimentally investigate the possibility of realizing a time crystalline order using arrays of superconducting qubits by applying periodic sequence of pulses with excitation of nonequilibrium states in the system.

The 33th Quantum Simulation Meeting

Date
September 28th (Friday), 2018
Time
3:00 pm - 5:00 pm
Venue
Frontier Research Laboratory of RIKEN Wako campus, 3F, Meeting Room #309
【EN】http://www.riken.jp/en/access/wako-map/

Further development of the precision many-body methods for the studies of the physics of high Tc superconductors, chiral magnets, anomalous Hall effect, etc..

Dr. Andrey S. Mishchenko (Prof. Nagaosa group)

Development of Diagrammatic Monte Carlo (DMC) and Stochastic Optimization Analytic Continuation (SOAC) methods led to substantial progress in study of many-body effects in high temperature superconductors [1-5] which we achieved before the start of the ImPACT project.
However, our ImPACT funded studies of variety of novel compounds and phenomena [6-12] led us to conclusion that our methods require substantial further development to include novel physical properties which can be calculated (e.g. optical conductivity, mobility, superconducting properties, etc.) and an emphasis on the word “precision” in the improvement of many-body methods must be made.
To achieve the above goal, we developed Stochastic Optimization Consistent Constrains Analytic Continuation (SOCCAC) method [13]. The SOCCAC method can be considered as the first method of analytic continuation which is capable of estimating of the error-bars of the analytic continuation result and, thus, can guarantee the maximal “precision” of the answer. Another substantial progress is the further development of the Bold Line DMC (BLDMC) [5] which can give precise answers for many-fermion problems (thus, circumventing famous fermion sign-problem in quantum Monte Carlo) [14]. The BLDMS method is reinforced recently by capability of calculating optical conductivity, mobility, and superconducting properties [14].

REFERENCES

[1] A.S. Mishchenko and N. Nagaosa, Phys. Rev. Lett. 93, 036402 (2004).
[2] V. Cataudella et al, Phys. Rev. Lett. 99 226402 (2007).
[3] A.S. Mishchenko et al, Phys. Rev. Lett. 100, 166401 (2008).
[4] F. Novelli et al, Nat. Comm. 5:5112 (2014).
[5] A. S. Mishchenko, N. Nagaosa and N. Prokof’ev, Phys. Rev. Lett. 113, 166402 (2014).
[6] A. S. Mishchenko, Phys. Rev. Lett. 114, 146401 (2015).
[7] L. L. Lev et al, Phys. Rev. Lett. 114, 237601 (2015).
[8] C. Cancellieri et al, Nat. Commun. 7:10386 (2016).
[9] N. Kanazawa et al, Nat. Commun. 7:11622 (2016).
[10] D. Maryenko et al, Nat. Commun. 8:14777 (2017).
[11] V. N. Strocov, C. Cancellieri and A. S. Mishchenko, , in “Spectroscopy of Complex Oxide Interfaces”, p. 107-151, Springer Series in Materials Science 266, Eds. C. Cancellieri and V. N. Strocov, (Springer, 2018).
[12] O. Goulko et al, Phys. Rev. A 94, 051605(R) (2016).
[13] O. Goulko et al, Phys. Rev. B 95, 014102 (2017).
[14] A. S. Mishchenko et al, to be published

Charge and spin transport properties induced by Majorana fermions in topological superconductors.

Dr. James Jun HE (Prof. Nagaosa group)

In condensed matter physics, Majorana fermions are quasi‐particles that may be used to create topological quantum computers. They appear in topological superconductors, which are superconducting analogy of topological insulators. In this talk, I present my studies on topological superconductors (TSCs) focusing on the spin and charge transport properties induced by Majorana fermions which exist either as zero dimensional bound states or as edge modes on the boundary of a 2D TSCs. First it is shown that Majorana bound states induce spin‐selective Andreev reflection and generate spin currents. This property is generalized to Majorana flat bands where the magnitude of the induced spin current can be large. Then I discuss a TSC model with double Majorana modes. I show that correlated spin currents can be generated through enhanced cross Andreev reflection which is achieved by the interference between the Andreev reflections of the Majorana doublet. (References: Phys. Rev. Lett. 112, 037001, Phys. Rev. B 95, 195102, Nat. Comm. 5: 3232)

The 32th Quantum Simulation Meeting

Date
August 31h (Friday), 2018
Time
3:00 pm - 5:00 pm
Venue
Bioscience Bldg. of RIKEN Wako campus, Room S311
【EN】http://www.riken.jp/en/access/wako-map/

Correlation Measurement of Microwave Photons Emitted from Single Photon Source with High Efficiency

Dr. Yu ZHOU (Prof. Tsai's group)

Single photon sources of high efficiency are of great interest because they are the key elements in many prospective quantum technologies and applications. Based on our previous work, here we demonstrate a high-quality tunable microwave single photon source based on transmon qubit with emission efficiency up to ~97.7%. To further confirm the single photon property of the source, we study the single photon interference in a Hanbury Brown-Twiss type setup and measure the correlation functions of the emission field efficiently with GPU enhanced signal processing. The antibunching in the second-order correlation function is clearly observed. Such a high-quality single photon source may be used as a building block in the boson sampling in microwave regime.

Development of the superconducting microwave beam splitter for boson sampling experiments

Dr. Julia ZOTOVA (Prof. Tsai's group)

Superconducting quantum circuit is one of the most robust ways for realization of quantum systems. One of the most interesting effects can be observed due to single photons interactions [1]. To conduct these experiments different devices like single-photon source and an element for entanglement of quantum states are required. The most natural realization for such element is a beam splitter [2]. In microwave range it is convenient to use a hybrid beam splitter [1]. For single photon experiments a commercial beam splitter is not suitable because of dispassion in connectors and wires. Therefore, it is natural to use a beam splitter on-chip. In the talk the investigation of this kind of beam splitter will be reported.

[1] C Lang, C Eichler, L Steffen, JM Fink, MJ Woolley, A Blais, and A Wallraff. Correlations, indistinguishability and entanglement in Hong–Ou–Mandel experiments at microwave frequencies. Nature Physics, 9(6):345, 2013.
[2] Gregor Weihs and Zeilinger. Photon statistics at beam-splitters: an essential tool in quantum information and teleportation. Coherence and Statistics of Photons and Atoms, pages 262–288, 2001.

The 31th Quantum Simulation Meeting

Date
July 27th (Friday), 2018
Time
3:00 pm - 5:00 pm
Venue
Venue Laser Science Laboratory of RIKEN Wako campus, Meeting room #123/1F
【EN】http://www.riken.jp/en/access/wako-map/

Prospect of Quantum Simulation with Quantum Gas Microscope

Ryuta Yamamoto (Fukuhara group)

Ultracold atoms in optical lattices have a high controllability and enable us to simulate quantum many-body systems. The lowest temperature achieved in the quantum simulator using ultracold atoms is, however, higher than that of solid state materials, and then realization of interesting quantum phases has been still a challenging task. Recently, using single-site-resolved imaging (Quantum Gas Microscopy, QGM) and local potential manipulation, Greiner group observes the Néel ordered state [1]. Moreover, the group demonstrates a quantum state engineering and achieves a band insulator state with an ultralow entropy per particle s = 0.016(3) kB [2]. QGM technique combined with local potential manipulation is quite useful for not only cooling atoms but also observing dynamics of atoms in optical lattices [3]. Despite a lot of fruitful results by this technique, its applications are limited to a simple square lattice configuration. Systems with complicated lattice configurations will show many fascinating quantum phases. Therefore, it is extremely important to apply the QGM technique to such systems. We especially focus on a frustrated spin system of a triangular or Kagome optical lattice. We are now developing the system with QGM technique. In this presentation, I will introduce the usefulness of QGM technique for quantum simulator using ultracold atoms. I will also report our current progress towards realization of quantum simulator for a frustrated spin system with QGM technique.

[1] A. Mazurenko et. al., Nature 545, 462-466 (2017)
[2] C. S. Chiu et. al., Phys. Rev. Lett. 120, 243201 (2018)
[3] T. Fukuhara et. al., Nat. Phys. 9, 235-241 (2013)

Implementation of machine learning technology into the cold-atom experiments – Towards the advanced control of quantum simulators

Ippei Nakamura (Fukiuhara group)

Large-scale quantum information processing inevitably requires us to carefully control the considerable number of experimental parameters which govern the performance of the apparatus. Confounding between multiple parameters often makes it difficult to find out the optimal parameters from the extensive parameter space, and advance knowledge of experimenters is believed to be crucial for efficient parameter searching. Recent years, pioneering works of automatic optimization of experimental parameters have been demonstrated by combining quantum physics experiments and the machine learning technology [1,2]. Also we have been working on implementation of the Bayesian optimization technique [3], which search the parameters based on the statistical prediction, into our cold-atom quantum simulator. A laser-cooling experiment of neutral atomic gas is a suitable candidate of the machine-learning assisted optimization because it involves many sensitive parameters such as detuning and intensity of lasers, which can be electrically controlled from a computer. Once the experimental sequencer and the optimizer are connected, optimization experiments are readily performed. In this presentation, I report the results of optimizations of the polarization gradient cooling and also the evaporative cooling of 87Rb atoms, and the performance and the potential of the Bayesian optimization will be discussed.

* This work is a fruit of collaboration with T. Nakaso and A. Kanemura of AIST.

[1] P. B. Wigley et al., Sci. Rep. 6, 25890 (2016).
[2] T. Lausch et al., Appl. Phys. B 122, 112 (2016).
[3] D. R. Jones et al., J. Glob. Optim. 13, 455 (1998).

The 30th Quantum Simulation Meeting

Date
June 29th (Friday), 2018
Time
3:00 pm - 5:00 pm
Venue
RIKEN Wako campus, Main Research Building, 4F seminar room (435-437)
【EN】http://www.riken.jp/en/access/wako-map/#anchor2
【EN】http://www.issp.u-tokyo.ac.jp/maincontents/campusmap_en.html

Efficient open-source simulation of open quantum systems with both collective and local dissipation

Dr. Nathan Shammah (Dr. Nori's group)

The talk is divided in two parts:
(1) Study of open quantum systems using permutational invariance and using PIQS.
(2) How to make your code count, suing the integration of PIQS into QuTiP as an example.

In the first part of the talk, I will introduce the study of the driven-dissipative open quantum dynamics of a collection of N identical two-level systems. In the presence of local incoherent processes, each degree of freedom couples to its own reservoir.

The permutational invariance of the system evolving under Lindblad dynamics allows for an exponential reduction in the computational resources required to numerically solve the dynamics [1-5].
We thus develop an efficient open-source library in Python, the Permutational-Invariant Quantum Solver (PIQS).

Using PIQS, we address the robustness, against local dissipation processes, of various collective phenomena, e.g., steady-state and transient superradiant emission, spin squeezing, and quantum phase transitions [6-8].

In the second part of the talk, I will place this project in the broader context of open-source software for open science, providing a brief overview of how PIQS has been seamlessly integrated in QuTiP (qutip.org), the Quantum Toolbox in Python [9].
This example will give me the opportunity to illustrate how anyone can easily develop, from design to publication, an open-source computational library, an increasingly sought-after skill in the emerging open-source landscape of quantum technology research.

[1] B. A. Chase and J. Geremia, Collective processes of an ensemble of spin-1 particles,
Phys. Rev. A 78, 0521012 (2008).
[2] M. Xu, D. A. Tieri, and M. J. Holland, Simulating open quantum systems by applying
SU(4) to quantum master equations, Phys. Rev. A 87, 062101 (2013).
[3] S. Hartmann, Generalized Dicke states, Quantum Inf. Comput. 16, 1333 (2016).
[4] M. Gegg and M. Richter, Efficient and exact numerical approach for many multi-level
systems in open system CQED, New J. Phys. 18, 043037 (2016).
[5] P. Kirton and J. Keeling, Suppressing and restoring the Dicke superradiance transition
by dephasing and decay, Phys. Rev. Lett. 118, 123602 (2017).
[6] N. Shammah, N. Lambert, F. Nori, and S. De Liberato, Superradiance with local phase-breaking effects, Phys. Rev. A 96, 023863 (2017).
[7] N. Shammah and S. Ahmed, Piqs, https://github.com/nathanshammah/piqs (2017).
[8] N. Shammah, S. Ahmed, N. Lambert, S. De Liberato, and F. Nori, Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance, arXiv:1805.05129 (2018).
[9] J. R. Johansson, P. D. Nation, and F. Nori, QuTiP 2: A Python framework for the dynamics of open quantum systems, Computer Physics Communications 184, 1234 (2013).

Deep Learning constraints and Neuromorphic Computing: A walk through the neural network zoo with Sudoku

Mr. Shahnawaz Ahmed (Dr. Nori's group)

The application of Artificial Neural Networks (ANN) in physics spans from assisting coldatom experiments [1] to learning phase transitions in matter [2], even to reveal new insights on out-of-equilibrium phase transitions [3]. In certain cases such as learning the Ising model near criticality [4], Deep Neural Networks are shown to have no visible advantage. Similarly, many ANN architectures and methods that are currently used to train these are poorly understood beyond a heuristic level. Our goal is to gain further understanding of how such networks learn by discussing their ability to solve Constraint Satisfaction Problems (CSP). We take the example of Sudoku, an NP-hard problem of Boolean satisfiability (k-SAT) and discuss how ANNs can solve this problem. We consider both solving the problem when the constraints are known as well as understanding how the constraints of the problem are discovered by the network from training data. Handcrafting the network to solve such simple constraint problems helps to interpret how ANNs learn and determine the interplay of depth and number of neurons. The goal of this talk is to explore how ANNs learn symmetries, complex relations and constraints in data beyond mere black-box pattern recognition. Finally, we will briefly discuss some emerging concepts and ideas in nonconventional computing such as optical neuromorphic computing [5] and other promising analog approaches for constraint satisfaction [6].

References

[1] Wigley, Paul B., et al. "Fast machine-learning online optimization of ultra-cold-atom experiments." Scientific reports 6 (2016): 25890.
[2] Carrasquilla, Juan, and Roger G. Melko. "Machine learning phases of matter." Nature Physics 13.5 (2017): 431.
[3] Venderley, Jordan, Vedika Khemani, and Eun-Ah Kim. "Machine learning out-ofequilibrium phases of matter." arXiv preprint arXiv:1711.00020 (2017).
[4] Morningstar, Alan, and Roger G. Melko. "Deep learning the Ising model near criticality." arXiv preprint arXiv:1708.04622 (2017).
[5] Shen, Yichen, et al. "Deep learning with coherent nanophotonic circuits." Nature Photonics 11.7 (2017): 441.
[6] Wijesinghe, Parami, Chamika Liyanagedera, and Kaushik Roy. "Analog Approach to Constraint Satisfaction Enabled by Spin Orbit Torque Magnetic Tunnel Junctions." Scientific reports 8.1 (2018): 6940.

The 29th Quantum Simulation Meeting

Date
February 23rd (Friday), 2018
Time
3:00 pm - 5:00 pm
Venue
Main Research Bldg. of RIKEN Wako campus, Meeting room # 224/226
【EN】http://www.riken.jp/en/access/wako-map/#anchor2
【EN】http://www.issp.u-tokyo.ac.jp/maincontents/campusmap_en.html

Pathways to implementation of non-Abelian anyons in topological quantum information processing

Dr. Michael Fraser (Tarucha Group)

Non-Abelian anyons (in particular Fibonacci anyons) are particles that may robustly store and process quantum information, and are highly sought after for the development of topological quantum computers and simulators, however they have yet to be cleanly observed in experiment. Artificial systems incorporating lattice models and artificial gauge fields are especially exciting for their enhanced controllability and robust presence of non-Abelian anyons. I will review the various experimental systems exhibiting anyonic excitations and discuss their applicability to the development of quantum information technologies, focusing on progress in optical systems including exciton-polaritons and the creation of a bosonic fractional quantum Hall effect.

Toward realization of non-Abelian anyons in nanowire-based systems

Dr. Hiroshi Kamata (Tarucha Group)

Majorana fermions (MFs) and parafermions (PFs) have attracted wide attention as non-Abelian quasi-particles with fractional quantum statistics, having possible applications in topological quantum simulation. In particular, MFs emerging in the topological superconducting regime of semiconductor nanowire networks have been widely investigated both theoretically [1] and experimentally [2]. In this talk, I will first outline recent progress in search for MFs in the nanowire-based systems and then explain our experimental approaches to MFs and PFs.

[1] D. Aasen et al., Phys. Rev. X 6, 031016 (2016).
[2] Albrecht et al., Nature 531, 206 (2016). H. Zhang et al., arXiv:1710.10701 (2017).

The 28th Quantum Simulation Meeting

Date
January 19th (Friday), 2018
Time
3:00 pm - 5:00 pm
Venue
The Institute for Solid State Physics (ISSP), The University of Tokyo (Kashiwa Campus)
Meeting Room #1 (A636) of the Building A
【EN】http://www.issp.u-tokyo.ac.jp/maincontents/access_en.html
【EN】http://www.issp.u-tokyo.ac.jp/maincontents/campusmap_en.html

Tensor Network Ansatz and Its Applications to Frustrated Spin Systems

Naoki KAWASHIMA (ISSP, University of Tokyo)

We present an improvement upon the tensor renormalization group (TRG) by employing random numbers in the singular value decomposition (SVD), the core technique of the tensor network methods. It turned out that only twice as many random vectors as the truncation dimension, χ, are sufficient to achieve the relative error of, e.g., 10-8 in the free energy. The computational complexity of the new algorithm is O(χ5) in contrast to O(χ6) of the conventional TRG for the square lattice. We use mptensor, a function library based on the randomized SVD, to study several models which are discussed in the context of the topological quantum states, the kagome antiferromagnet, coupled S=1 AKLT chain and others. In particular, we obtain a phase diagram of an S=1 frustrated spin system that shows a gapped spin liquid phase.

Development for a real-time simulation algorithm
for high-temperature superconductors using the
full-SU(2) slave-boson formalism

Dr. Sharareh Sayyad

Investigations of correlated systems with an ultimate goal of “room-temperature superconductors" have obvious putative applicational importance, but are theoretically most challenging, especially when we want to simulate nonequilibrium as well as equilibrium situations. This is why we need to develop a new real-time simulation algorithm for looking into superconductivity with competition and interplay with various other quantum phases. This will enable us to not only understand the properties of existing systems, but also manipulate their phases. Numerically, such a goal will be achievable only if we can treat various phases on an equal footing. With this background, I will present our on-going proposal for the bipartite full-SU(2) slave-boson formalism as an impurity solver for the nonequilibrium dynamical mean-field theory (DMFT). We then combine the method to the fluctuation exchange approximation (FLEX) to incorporate spatial fluctuations into the DMFT. I shall present some preliminary result in equilibrium, and also give an estimate for the required computational time for nonequilibirum simulations. This work is a collaboration with Naoto Tsuji, Abolhassan Vaezi, Massimo Capone, Martin Eckstein, and Hideo Aoki.

The 27th Quantum Simulation Meeting

Date
December 15th (Friday), 2017
Time
3:00 pm - 5:00 pm
(The site visit is scheduled after the presentation.)
Venue
Bioscience Bldg. of RIKEN Wako campus, Room S311
【EN】http://www.riken.jp/en/access/wako-map/

Simulation of XY models using Josephson junction arrays in circuit QED architecture

Cosmic Raj (Nakamura group)

The challenge of many-body physics has drawn attention to many physicists. Studies in artificial quantum many-body systems with well-controlled parameters should play a central role for that purpose. Superconducting Josephson junction arrays (JJAs) are prototypical model systems consisting of an array of superconducting islands connected by small Josephson junctions. JJAs can be designed for various types of 2D lattices and have the ability to control the chemical potential and associated energy scales for studying many-body phenomena in both classical and quantum regimes. JJAs can be mapped to XY models when the Josephson energy is dominant compared to the charging energy. Here we present microwave studies of JJAs using a circuit QED approach and report the observation of vortex lattice ordering at commensurate flux bias conditions and direct detection of plasma-mode (spin wave) spectra in a 31x3 quasi-1D JJA. We also present some recent results on many-body effects in a 100x100 square-lattice JJA

Recent Progress in Quantum Simulations with Superconducting Qubits

Hiroki Ikegami (Nakamura group)

Understanding of quantum many-body systems is a great challenge in modern physics. An important strategy for understanding is to use a controllable quantum system to simulate another less controllable quantum many-body system. Such quantum simulations have become possible in the last few years with a small number of superconducting qubits owing to recent technical advances such as the improvement of the coherence time, the high-fidelity gate operations, and the high performance readout of the state. In this talk, I will introduce some proof-of-principle experiments of quantum simulations by other groups. In particular, I will show two experiments of quantum simulations: the digital quantum simulation of strongly interacting fermions based on the gate operations using four qubits [1]and the analog quantum simulation of energy spectrum of Harper model performed using nine qubits[2].

[1] R. Barends, at al., Nat. Commun. 67654 (2015).
[2] P. Roushan, at al., arXiv:1709.07108.

The 26th Quantum Simulation Meeting

Date
November 17th (Friday), 2017
Time
3:00 pm - 5:00 pm
(The site visit is scheduled after the presentation.)
Venue
Kyoto University
Room 401, 4F, Graduate School of Science Bldg No 5
【JPN】http://www.kyoto-u.ac.jp/ja/access/campus/yoshida/map6r_n.html
【EN】http://www.kyoto-u.ac.jp/en/access/yoshida/north.html

Quantum simulation using ultracold atoms in an optical lattice towards high temperature superconductivity

Prof. Yoshiro TAKAHASHI

In this short presentation, I will briefly introduce our quantum simulation study using ultracold atoms in an optical lattice towards the realization of high temperature superconductivity. In this ImPACT project we focus on two novel lattice configurations. One is a bi-layer lattice which was first proposed by Kuroki et al. [1]. The estimated Tc is higher than that for that for a 2D square lattice. Another is a Lieb lattice which has a flat-band in the band structure. This flat band is important to induce the superfluidity both for attractively-[2] and repulsively-interacting [3] fermions. I also briefly discuss the possible realization of a low enough temperature which is an issue for cold atom quantum simulator.

[1] K. Kuroki, T. Kimura, and R. Arita, Phys. Rev. B 66, 184508 (2002).
[2] A. Julku, et al, Phys. Rev. Lett. 117, 045303(2016)
[3] K. Kobayashi, et al, Phys. Rev. B 94, 214501 (2016)

Measuring Antiferromagnetic Spin Correlations in SU(N) Atomic Fermi Gases in Dimerized Optical Lattices

Dr. Shintaro TAIE

Department of Physics, Graduate School of Science, Kyoto University, Japan 606-8502 Realizing magnetically ordered states in ultracold Fermi gases has been a long-standing challenge for quantum simulation of strongly correlated solid electrons using optical lattices. Recent advances in cooling, manipulating, and probing Fermi gases brought much progress in this subject [1,2] and the realization of the Néel ordered state was reported [3].
On the other hand, magnetic correlations in multi-component, especially SU(N>2) Fermi gases, have not been observed in spite of much theoretical interest. In this seminar, we present experimental results on measuring magnetic correlations in multicomponent Fermi gases of ytterbium loaded into an optical superlattice. The lattice structure is arranged to a dimer-like configuration, which enhances superexchange interactions inside dimers. We successfully observe singlet-triplet oscillations [4], signaling the development of antiferromagnetic correlations. We carry out quantitative comparison between SU(4) and SU(2) fermions and confirm that correlations becomes stronger for larger N.

[1] R. A. Hart et al., Nature 519, 211 (2015)
[2] M. F. Parsons et al., Science 353, 1253 (2016)
[3] A. Mazurenko et al., Nature 545, 462 466 (2017)
[4] D. Greif et al., Science 340, 1307 (2013)

Cooling schemes for ultracold gases in optical lattices

Dr. Ippei Danshita

Recent observation of long-range magnetic ordering in an optical lattice system loaded with two-component Fermi gases [1] has highly motivated further technological development of the analog quantum simulator of the Hubbard model. Currently, the most severe bottleneck for the Hubbard quantum simulation is to reduce the temperature of the systems to be much lower than the spin-exchange interaction J. For instance, the critical temperature of the d-wave superconducting phases is estimated to be on the order of 0.1J/kB with some approximate theory. Since the lowest temperature achieved in ultracold-atom quantum simulators is 0.45J/kB [1], one needs to develop techniques for further cooling. In this talk, I will discuss a cooling scheme using layered optical lattices [2,3] and, if time allows, the one with quantum heat engine.

[1] A. Mazurenko et al., Nature 545, 462 (2017).
[2] A. Kantian et al., arXiv:1609.03579 [cond-mat.quant-gas].
[3] S. Goto and I. Danshita, arXiv:1710.00521 [cond-mat.quant-gas].

The 25th Quantum Simulation Meeting

Date
October 20th (Friday), 2017
Time
3:00 pm - 5:00 pm
(The site visit is scheduled after the presentation.)
Venue
Frontier Research Laboratory of RIKEN Wako campus, 3F meeting room
http://www.riken.jp/en/access/wako-map/
(C41 building on the map.)
【JPN】http://www.riken.jp/access/wako-map/#anchor1
【EN】http://www.riken.jp/en/access/wako-map/

The absence of single magnon excitation and fractional incoherent dynamics in a two-dimensional unfrustrated spin-1/2 antiferromagnet

Dr. Akiko Masaki (Yunoki Group)

Owning to newly developed various numerical methods, the ground state properties of two-dimensional quantum lattice models such as two-dimensional quantum Heisenberg spin systems have been theoretically understood in the last decade. On the other hand, excitation dynamics are still not well understood even in simple models such as S=1/2 square lattice antiferromagnetic Heisenberg models (SLAHM), because it is not easy to calculate dynamic quantities despite that the numerical methods have drastically advanced recently. Recent experiments have observed that the magnon excitation spectrum of the wave number k = (π, 0) becomes much broader than that of k = (π/2, π/2), and the peak position also shifts to the lower energy side. Especially, recent neutron scattering experiments with metal-organic compound Cu(DCOO)2・4D2O (CFTD) which can be well described by S=1/2 SLAHM have suggested that the source of incoherent excitation at wave number k = (π, 0) is spinon excitation.
Very recently, a new numerical analytic continuation method that is the hybrid of the stochastic optimization method and consistent constraints (SOCC) method has been proposed [2]. This method allows us to evaluate the spectrum without any biases. In this study, we have calculated the excitation spectra of S=1/2 SLAHM along high symmetric wave numbers k using QMC+SOCC methods [3]. We have successfully obtained spectra that quantitatively reproduce the neutron scattering experiments for CFTD. Our results show that the peak at k = (π, 0) is broad and asymmetric while the sharp peak at k = (π/2, π/2) is consistent with the presence of symmetric well-defined magnon excitation. Moreover, we have carefully checked lower and higher energy excitations. We have found that a delta function peak corresponding to a single magnon around k = (π, 0) is absent with a large amount of continuum and high energy excitations in the longitudinal channel show a high energy threshold that is independent from momenta.

[1]B. Dalla Piazza et al., Nat. Phys. (2015).
[2] O. Goulko et al., Phys. Rev. B 95, 014102 (2017).
[3] A. Masaki-Kato, A. S. Mishchenko, T. Shirakawa, S. Yunoki and N. Nagaosa, unpublished.

Evidences for significant electron-phonon coupling in high Tc cuprates: Fermi blockade of the coupling with doping.

Dr. Andrey S. Mishchenko (Nagaosa Group)

High Tc cuprates exhibit strong effects of electron–phonon interaction (EPI) at low hole-doping evidenced in ARPES [1,2,3], static and pump-probe optical conductivity [4,5], Raman scattering [6], etc. However, the EPI effects are suppressed with doping [3,4]. We check a hypothesis that this is due to screening of the EPI by Fermi statistics of carriers which is the consequence of the Migdal theorem stating that high order Feynman diagrams are suppressed by factor ωph/εF, where εF and ωph is the Fermi energy and phonon frequency, respectively. We use recently developed exact bold-line diagrammatic Monte Carlo technique [7] which circumvents famous many-Fermion sign problem in Monte Carlo. In particular, we study spin-polarized fermions in Holstein model which mimics t-J-Holstein model because two holes on one site cannot be created at the same time. We take the strong coupling limit λ=1.07 when mass renormalization m*=4m0 is considerable. We find (Fig.1(a)) that (i) filling of carriers really suppresses manifestations of EPI like it is in high Tc materials; (ii) diagrams higher than 2-nd order are suppressed at εF/ωph >2.5; (iii) 10-th (14-th) order diagrams become important only at εF/ωph < 1.5 (<0.5). We highlight properties of electron-phonon coupling in various doping regimes (Fig. 1(b)).

Fig. 1. (a) Dependence of the mass renormalization on the carrier filling and on the Feynman diagram order; (b) dependence of the energy renormalization on the Feynman diagram order for dense, dilute, and intermediate density polaron gas.

References

[1] A.S. Mishchenko and N. Nagaosa, Phys. Rev. Lett. 93, 036402 (2004).
[2] V. Cataudella et al, Phys. Rev. Lett. 99 226402 (2007).
[3] A.S. Mishchenko et al, EPL 95, 57007 (2011).
[4] A.S. Mishchenko et al, Phys. Rev. Lett. 100, 166401 (2008).
[5] F. Novelli et al, Nat. Comm. 5:5112 (2014).
[6] D. Farina et al, to be published.
[7] A. S. Mishchenko, N. Nagaosa and N. Prokof’ev, Phys. Rev. Lett. 113, 166402 (2014).

The 24th Quantum Simulation Meeting

Date
September 15th (Friday), 2017
Time
3:00 pm - 5:00 pm
(The site visit is scheduled after the presentation.)
Venue
Laser Science Laboratory of RIKEN Wako campus, Meeting room 123/1F
http://www.riken.jp/en/access/wako-map/
(The Laser Science Laboratory is C32 building on the map.)
【JPN】http://www.riken.jp/access/wako-map/#anchor1
【EN】http://www.riken.jp/en/access/wako-map/

Quantum simulation of non-equilibrium dynamics with optical lattice systems

Dr. Takeshi Fukuhara

Since optical lattice systems are well separated from uncontrolled environments, they provide an ideal platform to study non-equilibrium quantum dynamics of many-body systems. Furthermore, the time scale of their dynamics is sufficiently slow that we can apply a variety of manipulation and observation, which are difficult to realize for ultrafast phenomena in strongly correlated materials. In this presentation, I will discuss possibilities of a quantum simulator with optical lattice systems for non-equilibrium phenomena, such as photo-induced phase transitions. I also report recent and ongoing activities of our experiments with bosonic atoms towards this goal: realization of a quantum gas and optimization of experimental parameters with machine learning.

Quantum many-body phenomena under continuous observation

Dr. Yuto Ashida

Realizations of quantum gas microscopy have offered novel possibilities to measure quantum many-body systems at the single-particle level [1]. Further developments could allow us to perform a continuous monitoring of the many-body system [2,3]. In the first part of the talk, we discuss the influence of the measurement backaction on quantum criticality due to continuous observation. By analyzing the effective non-Hermitian Hamiltonian, we show that the measurement backaction can trigger (i) the bifurcation of critical exponents in TomonagaLuttinger liquid [4] and (ii) a new universality class of critical phenomena that has no counterpart in closed systems [5]. In the second part, we discuss the propagation of correlations under the measurement backaction [6]. Analyzing the density matrix including a fixed number of quantum jumps, we find that there appear supersonic modes propagating beyond the generalized Lieb-Robinson bound. We discuss possible experimental realizations in ultracold atoms using controlled loss of atoms [7,8] together with quantum gas microscopy technique.

[1] W. S. Bakr et al., Nature 462, 74-77 (2009).
[2] Y. A. Patil et al., PRL 115, 140402 (2015).
[3] YA and M. Ueda, PRL 115, 095301 (2015).
[4] YA, S. Furukawa, and M. Ueda, PRA 94, 053615 (2016).
[5] YA, S. Furukawa, and M. Ueda, Nat. Commun. 8, 15791 (2017).
[6] YA and M. Ueda, submitted.
[7] H. P. Luschen et al., PRX 7, 011034 (2017).
[8] T. Tomita et al., arXiv:1608.05061 (2017).

The 23th Quantum Simulation Meeting

Date
July 21st (Friday), 2017
Time
3:00 pm - 5:00 pm
(The site visit is scheduled after the presentation.)
Venue
【JPN】http://www.riken.jp/access/wako-map/#anchor1
【EN】http://www.riken.jp/en/access/wako-map/

Strong coupling between a cavity and a half open space via a superconducting artificial atom

Dr. Zhihui Peng (Prof. Tsai's group)

We study a superconducting artificial atom strongly coupled to a coplanar waveguide resonator and simultaneously to a transmission line. A vacuum induced Aulter-Townes splitting is observed in the reflection spectrum of the three-level atom via the transmission line when the transition between two excited states is resonant with the resonator. By varying an amplitude of the driving field applied to the resonator, we observe quantum-to-classical transition of the Aulter-Townes splitting. An anomalous wide band resonance fluorescence is also observed by driving the resonator when the transition between the two lowest levels of atom is resonant with the resonator. It is because the coupling strength between the atom and resonator is sufficiently large
and the variation in transition frequencies as a function of the photon number in the system widens the fluorescent sidebands.

Tunable Microwave Single Photon Source Based on Transmon Qubit

Dr. Yu Zhou (Prof. Tsai's group)

To achieve boson sampling, a problem which has been proven to be intractable for classical computers, the microwave regime approach using superconducting circuits is promising for a largescale and compact implementation when compared with its original candidate--quantum optical networks. Among the required building blocks for boson sampling in microwave regime, the highquality microwave single photon source is the most important and essential one. In this talk, I will mainly focus on our recent work on tunable microwave single photon source based on transmon qubits, which is more simple for the scalability and with better decoherence performance. I will also talk about our control system based on PXIe technology, which is easy to scale. Finally, I will briefly describe our near-term goal of integration of single photon source and single photon detector, which should be another essential demonstration towards the microwave regime approach of boson sampling.

The 22th Quantum Simulation Meeting

Date
June 30th (Friday), 2017
Time
3:00 pm - 5:00 pm
Venue
Main Research Bldg. of RIKEN Wako campus,
Meeting room # 435 & 437 (The main research bldg. is C01.)
【JPN】http://www.riken.jp/access/wako-map
【EN】http://www.riken.jp/en/access/wako-map/

a brief overview of QuTiP.

Dr. F. Nori

I will present a brief overview of QuTiP. The basics are covered in the QuTiP web site and also here:

• J.R. Johansson, P.D. Nation, F. Nori
QuTiP 2: A Python framework for the dynamics of open quantum systems
Comp. Phys. Comm. 184, 1234 (2013). [PDF] [Link] [arXiv]

• J.R. Johansson, P.D. Nation, F. Nori
QuTiP: An open-source Python framework for the dynamics of open quantum systems
Comp. Phys. Comm. 183, 1760-1772 (2012). [PDF] [Link] [arXiv]

Ground-State Physics of light-matter systems in the ultra-strong coupling regime.

Dr. Mauro Cirio (Dr. Nori's group)
Recent developments in the field of cavity quantum electrodynamics showed the possibility to engineer the interaction strength between light and matter to a wide range of physical regimes. These regimes can be characterized by different ground-state properties. For example, when the coupling strength becomes a sensible fraction of the characteristic frequency of the system in the absence of interaction (ultra-strong coupling regime), the ground state contains virtual light-matter excitations. In our work, we theoretically analyzed different ways to probe the virtual excitations present in the ground state of light-matter systems in the ultra-strong coupling regime:

-) Ground State Electroluminescence [1]. Electroluminescence, the emission of light in the presence of an electric current, provides information on the allowed electronic transitions of a given system. We showed that, together with the usual electroluminescence, systems in the ultrastrong light-matter coupling regime emit a uniquely quantum radiation when a flow of current is driven through them.

-) Amplified opto-mechanical transduction of virtual radiation pressure [2]. Here we describe how, utilizing a time-dependent opto-mechanical interaction, a mechanical probe can provide an amplified measurement of the virtual photons dressing the quantum ground state of an ultra-strongly-coupled light-matter system.

-) Ground State Electroluminescence in systems with flat Electronic-Bands [3]. Here we show the existence of ground-state electroluminescence emission channels in systems characterized by electronic flatband models. Specifically, we generalize the single-electron model in [1] to describe systems with many non-interacting electrons.

[1] M. Cirio, S. De Liberato, N. Lambert, F. Nori, Phys. Rev. Lett. 116, 113601 (2016).
[2] M. Cirio, K. Debnath, N. Lambert, F. Nori, Phys. Rev. Lett. 2017 (in press), see arXiv:1612.02953.
[3] M. Cirio, et al. (in preparation).
The above works benefited greatly from the use of the QuTiP software to model open quantum systems.

The 21th Quantum Simulation Meeting

Date
June 6th (Tuesday), 2017
Time
3:00 pm - 5:00 pm
Venue
RIKEN Wako Campus, Laser Science Laboratory,
Meeting room #123 on the 1st floor
【JPN】http://www.riken.jp/access/wako-map
【EN】http://www.riken.jp/en/access/wako-map/
(The Laser Science Laboratory is C32 building on the map.)

Brainstorming II

" Future prospects in topological QC"

The 20th Quantum Simulation Meeting

Date
April 28th (Friday), 2017
Time
3:00 pm - 5:00 pm
Venue
JST Tokyo Headquarters (K's Gobancho), Meeting room A/9F
https://www.jst.go.jp/EN/location/index.html

Brainstorming I

"The possibility of room temperature superconductivity"

The 19th Quantum Simulation Meeting

Date
January 27th (Friday), 2017
Time
3:00 pm - 5:00 pm
Venue
RIKEN Wako Campus, Laser Science Laboratory,
Meeting room #123 on the 1st floor
【JPN】http://www.riken.jp/access/wako-map
【EN】http://www.riken.jp/en/access/wako-map/
(The Laser Science Laboratory is C32 building on the map.)

Study on non-equilibrium dynamics of open quantum systems and search for fractional quantum statistics with non-abelian anyons

Seigo Tarucha
Quantum Functional System Research Group, RIKEN Center for Emergent Matter Science
and
Department of Applied Physics, Graduate School of Engineering, The University of Tokyo

 We have been working on quantum dynamics of open quantum systems to explore non-equilibrium quantum statistics and fractional quantum statistics with non-abelian anyons. The first will provide information about non-equilibrium dynamics of correlated quantum systems coupled to environment, and the second will be helpful to explore new principles of quantum simulation with anyons. I will first outline our approaches to these topics and then explain progresses in study on non-trivial dynamics of quantum spin systems coupled to spin bath, and search for Majorana fermion using two different systems of nanowire-superconductor junctions and topological insulator-superconductor junctions.

Towards a bosonic fractional quantum Hall state of exciton-polaritons

Michael Fraser
Quantum Functional System Research Group, RIKEN Center for Emergent Matter Science

 Anyons, and in particular, non-Abelian anyons, are long sought-after quasi-particles with fractional exchange statistics, having promising applications in topological forms of quantum computation and memory [1], and quantum simulation [2]. Anyons most famously occur when low temperature, two-dimensional electrons are subjected to strong magnetic fields leading to Landau level formation, and in particularly clean systems, to the fractional quantum Hall state.
Rapid rotation of a system of two-dimensional bosons also analogously leads to the formation of Landau levels and is predicted to transition into a fractional quantum Hall state [3]. I explore the use of exciton-polaritons [4,5], hybrid light-matter, bosonic quasi-particles in semiconductors, as a suitable candidate to observe the bosonic fractional quantum Hall effect with the potential to realise a robust and optically controllable source of non-Abelian anyonic excitations.

[1] C. Nayak, S. H. Simon, A. Stern, M. Freedman and S. Das Sarma “Non-Abelian anyons and topological quantum computation” Rev. Mod. Phys. 80, 1083 (2008).
[2] G. K. Brennen and J. K. Pachos "Why should anyone care about computing with anyons?" Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 464, 2089 (2008).
[3] N. R. Cooper “Rapidly Rotating Atomic Gases” Advances in Physics 57, 539 (2008).
[4] H. Deng, H. Haug, and Y. Yamamoto “Exciton-polariton Bose-Einstein condensation” Rev. Mod. Phys. 82, 1489 (2010).
[5] I. Carusotto and C. Ciuti “Quantum fluids of light” Rev. Mod. Phys. 85, 299 (2013).

Electron spin dynamics in non-ergodic fluctuations

Takashi Nakajima
Quantum Functional System Research Group, RIKEN Center for Emergent Matter Science

 Steering coherent quantum states in the noisy environment is of great interest for applications of quantum mechanics. It is therefore important to investigate the dynamics of the environment and characterize its influence to the quantum states. As a good example of such systems, we study the real-time fluctuation of the nuclear spin environment by using an electron spin in a quantum dot as a sensitive magnetic probe. We find the non-ergodic and non-Markovian characteristic of the fluctuation in short time scales, where the effective spin coherence is improved significantly [1].
We will discuss the application of the improved coherence to quantum functions with an adaptive control technique.

[1] M. R. Delbecq et al., Phys. Rev. Lett. 116 046802 (2016).


The 18th Quantum Simulation Meeting

Date
October 28th (Friday), 2016
Time
3:00 pm - 5:00 pm
Venue
JST Tokyo Headquarters (K's Gobancho, ② on the access map)
Meeting room A on the 9F
https://www.jst.go.jp/EN/location/index.html

Superconductivity in a flat-band system studied with density matrix renormalisation group

Hideo Aoki
Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033, Japan
and
Electronics and Photonics Research Institute, Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki 305-8568, Japan

 Flat-band systems can be an interesting avenue for designing superconductivity due to their highly entangled wavefunctions. I shall describe repulsively interacting fermions on the diamond chain, a simplest 1D flat-band lattice as studied with the density matrix renormalisation group (DMRG), one of the matrix-product methods. A sign of long-tailed pair correlation is detected [1]. Intriguingly, the superconducting phase sits right next to a topological insulator phase. Indeed, flat-band systems are suggested to be a good place for realising topological systems [2], and exploring possible connections between superconductivity and topological properties will be an interesting future problem.

[1] K. Kobayashi, M. Okumura, S. Yamada, M. Machida and H. Aoki, arXiv:1608.00125.
[2] See, e.g., M. G. Yamada, T. Soejima, N. Tsuji, D. Hirai, M. Dinca and H. Aoki, Phys. Rev. B 94, 081102(R) (2016).

Tensor Network Renormalization and Its Recent Applications

Naoki Kawashima
Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan

 Tensor network states (TNS) are quantum states that can be represented by a network of contracted tensors. Recently, it was found that the TNS is an efficiently compressed representation of many quantum states of physical interest and may be a cure to the notorious negative sign problem. Some application has already shown that the TNS is useful in dealing with frustrated spin systems and fermion problems. In addition, real-space renormalization group transformation can be implemented on the TNS in a much more systematic way than the conventional Migdal-Kadanoff (MK) approximation. From the renormalized tensor, we can not only obtain more accurate estimates of relevant critical exponents, but also deduce various other critical parameters, such as irrelevant scaling fields and fusion coefficients among scaling operators, which are inaccessible in the MK approximation.

The 17th Quantum Simulation Meeting

Date
September 23th (Friday), 2016
Time
3:00 pm - 5:00 pm
Venue
Room No.401 on the 4th
Graduate School of Science Bldg.5
Graduate School of Science, Kyoto University,
Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto
http://yagura.scphys.kyoto-u.ac.jp/access-e.html

Quantum simulation using ultracold atoms in an optical lattice
towards room-temperature superconductivity

Yoshiro Takahashi
Department of Physics, Graduate School of Science, Kyoto University

 yitk(at)scphys.kyoto-u.ac.jp ※Please replace "(at)" with "@".

 In this short presentation, I will talk on possibilities of a quantum simulator using ultracold atoms in an optical lattice towards the realization of room temperature superconductivity. Our research in this ImPACT project focuses on a novel lattice configuration, called a bi-layer lattice, first proposed by Kuroki et al. [1] and also studied in [2] which predict Tc higher than that for a 2D square lattice corresponding to Cu-based superconductors. This bi-layer lattice is interesting because it shows a disconnected Fermi surface similar to Fe-based superconductors. I also briefly discuss the possible realization of a low enough temperature which is an issue for cold atom quantum simulator.

[1] K. Kuroki, T. Kimura, and R. Arita, Phys. Rev. B 66, 184508 (2002).
[2] T. A. Maier and D. J. Scalapino, Phys. Rev. B 84, 180513(R) (2011).

Possibility of high Tc superconductivity in lattice structures with dimerization

Kazuhiko Kuroki
Department of Physics, Graduate School of Science, Osaka University

kuroki(at)phys.sci.osaka-u.ac.jp ※Please replace "(at)" with "@".

 Purely electronic mechanisms of Cooper pairing are attractive from the viewpoint of high temperature superconductivity in the sense that they involve only the electrons, which typically have an energy scale of ~eV. On the other hand, repulsive pairing interaction arising from such mechanisms gives rise to sign reversing superconducting gap. This often results in gap nodes intersecting the Fermi surface, which suppresses the superconducting transition temperature (Tc). In this talk, I will show that the Fermi surface consists of disconnected pieces in certain lattice structures with dimerization, where the sign reversal of the superconducting gap can take place without nodes intersecting the Fermi surface. Many body calculations for the Hubbard model on these lattice structures show that the superconducting transition temperature can be as high as 0.1t, where t is the nearest neighbor hopping integral [1-3]. This is much higher than the Tc (<0.03t) of the Hubbard model on a square lattice, which is considered as a model for the high Tc cuprate superconductors.

[1] K. Kuroki and R. Arita, Phys. Rev. B 64, 024501 (2001).
[2] K. Kuroki, T. Kimura, and R. Arita, Phys. Rev. B 66, 184508 (2002).
[3] T. A. Maier and D. J. Scalapino, Phys. Rev. B 84, 180513(R) (2011).

Experiments of an ultracold Fermi gas in a bilayer optical lattice

Yosuke Takasu
Department of Physics, Graduate School of Science, Kyoto University

 takasu(at)scphys.kyoto-u.ac.jp ※Please replace "(at)" with "@".

 To provide important insights for room temperature superconductivity is one of the important goals for quantum simulation research. Kuroki et al theoretically showed that transition temperature in bilayer system is higher than that in a monolayer system [1], which also attracted much interest from the view points of Fe-based superconductivity, although it is in under active discussion. We planned quantum simulation of this novel superconductivity by using fermionic 173 Yb atoms loaded in a bilayer optical lattice system. In this talk, I report recent progress of the experiments, such as building of a bilayer optical lattice system, superfluid-Mott insulator transition of bosons, and observation of spin singlet-triplet oscillation of two-component fermions.

[1] K. Kuroki, T. Kimura, and R. Arita, Phys. Rev. B 66, 184508 (2002).

The 16th Quantum Simulation Meeting

Date
August 26th (Friday), 2016
Time
3:00 pm - 5:00 pm
Venue
JST Tokyo Headquarters (K's Gobancho, ② on the access map)
Meeting room A on the 9F
https://www.jst.go.jp/EN/location/index.html

Quantum Dynamics of electron-phonon coupled systems

Naoto Nagaosa1,2

1.RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
2.Department of Applied Physics, The University of Tokyo, Tokyo 113-8656, Japan
nagaosa(at)riken.jp ※Please replace "(at)" with "@".

 Electron-phonon interaction gives the fundamental for the superconductivity, which mediate the attractive interaction between the electrons. There are many experimental tools to detect this interaction such as optical spectra, angle-resolved photoemission spectroscopy (ARPES), and neutron scattering. Theoretically, exact diagonalization of finite clusters, quantum Monte Carlo simulation, variational methods etc. have been used to analyze this problem, but the exact solutions are rarely available. Diagrammatic quantum Monte Carlo methods combined with the stochastic analytic continuation method opened a powerful way to calculate the physical properties of interacting electron-phonon systems without any approximations. First, I will review the results obtained for the polaron problem, i.e., a particle interacting with the phonon bath. Second, the extension of the method to the many fermion case will be discussed with the focus on the adiabatic-diabatic crossover as the Fermi energy increases. And finally, the non-equilibrium phenomena under light irradiation will be discussed. This works have been done in collaboration with Andrey S. Mishchenko, Nikolay Prokof'ev.

Markovian Quantum Master Equation toward Quantum Annealing
beyond Adiabatic Regime

Makoto Yamaguchi

RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
makoto.yamaguchi(at)riken.jp ※Please replace "(at)" with "@".

 Quantum annealing is one of the promising schemes to solve optimization problems. In this scheme, the system is initially prepared in its ground state that is easily realizable, and then, the Hamiltonian is gradually deformed to satisfy the adiabatic theorem. Hence, the ground state is maintained throughout the evolution and finally provides the solution of the problem to be solved, at least in principle. However, in practice, it is known that dissipative nature of the system as well as non-adiabatic transitions play significant roles on the computational performance. Nevertheless, there is no general approach to theoretically address the non-adiabatic regime with dissipation, for example, by using the Markovian quantum master equation (QME).
In this talk, I will give a general formulation of the Markovian QME to go well beyond the adiabatic regime, by introducing a temporal change timescale ¥tau_A for the time-dependent system Hamiltonian. It is further found that the framework can be well justified even if ¥tau_A is faster than the decay timescale of the bath correlation function. An application to the dissipative Landau-Zener model demonstrates this general result. The findings are applicable to a wide range of fields as well as the quantum annealing, providing a basis for quantum control beyond the adiabatic regime.

Quantum criticality of the interaction driven metal-insulator transition
and possible spin liquid in 2D Hubbard models

Seiji Yunoki1,2

1.RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
2.RIKEN Advanced Institute for Computational Science (AICS), Kobe, Hyogo 650-0046, Japan
yunoki(at)riken.jp ※Please replace "(at)" with "@".

 The metal-insulator transition has been a subject of intense research since Nevil Mott has first proposed that the electron correlation can turn a metallic state into an insulating one. Here, we consider first electrons with massless Dirac-like dispersion on 2D bipartite lattices and perform numerically exact quantum Monte Carlo simulations that allow us to explore the quantum critical behavior of the metal-insulator transition [1,2]. We find that the transition is continuous without an intermediate phase [1] and determine the quantum criticality for the corresponding universality class, which is described in the continuous limit by the Gross-Neveu model [2]. We also discuss a fluctuation-driven scenario that the metal-insulator transition in the Dirac electrons is triggered by the vanishing of the quasiparticle weight but not the Dirac Fermi velocity [2]. Second, we explore the ground state phase diagram of the half-filled Hubbard model on the triangular lattice. Our 2D density-matrix renormalization group calculations reveal two discontinuities in the double occupancy with increasing U/t, indicating that there are three phases separated by first order transitions. The intermediate state, between the metallic and Neel ordered states, displays a paramagnetic nature which resembles gapless spin liquid [3].

[1] S. Sorella, Y. Otsuka, and S. Yunoki, Sci. Rep. 2, 992 (2012).
[2] Y. Otsuka, S. Yunoki, and S. Sorella, Phys. Rev. X 6, 011029 (2016).
[3] T. Shirakawa, T. Tohyama, J. Kokalj, S. Sota, and S. Yunoki, arXiv:1606.06814 (2016).

The 15th Quantum Simulation Meeting

Date
July 29th (Friday), 2016
Time
3:00 pm - 5:00 pm
Venue
JST Tokyo Headquarters (K's Gobancho, ② on the access map)
Meeting room A on the 9F
https://www.jst.go.jp/EN/location/index.html

Circuit QED Studies of Josephson Junction Array

Hiroki Ikegami, CEMS RIKEN

Understanding and engineering of quantum many-body systems is a big challenge in quantum physics and quantum information processing. Studies in artificial quantum many-body systems with well-controlled parameters should play a central role for that purpose. One of the promising platforms for realizing an artificial quantum many-body system is a Josephson junction array (JJA). It consists of an array of superconducting islands connected by small Josephson junctions, where various kinds of classical and quantum Hamiltonians, such as Bose-Hubbard and XY Hamiltonians, can be implemented depending on parameters of the system. Here, we present our recent progress of experimental study of JJAs using the circuit quantum electrodynamics (cQED) architecture. In contrast to the conventional transport measurements in JJAs, the cQED approach has some advantages: The system is weakly perturbed by the microwave excitation and properties of not only ground state but excited states are investigated at single photon level. In this talk, we particularly focus on our investigations of JJAs in a magnetic field, where the Bose-Hubbard-type system of quantum vortices is realized.

Quantum simulation in the microwave domain

J. M. Taylor, JQI/QuICS/NIST

I will discuss theoretical approaches for realizing nontrivial phases of matter using microwave-domain devices. Specific emphasis will be placed upon using photons as the constituent particles of the simulator, with the theoretical development of non-interacting and interacting theories, as well as consideration of nominal equilibrium states of such systems and their connection to standard thermodynamic ensembles.

The 14th Quantum Simulation Meeting

Date
June 24th (Friday) 2016
Time
3:00 pm - 5:00 pm
Venue
Room No.115 on the 1st
Graduate School of Science Bldg.5
Graduate School of Science, Kyoto University,
Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto
http://yagura.scphys.kyoto-u.ac.jp/access-e.html

Quantum chemistry simulation with superconducting boson sampling circuit: Experiment

Jaw-Shen Tsai, Riken & TUS

 We proposed to consider doing quantum simulation based on boson sampling. Boson sampling is a short to medium term application of quantum technology that has been proven to be classically difficult to solve. Recent results from the Harvard group has illustrated a possible application for Boson sampling in quantum chemistry in simulating the vibrational spectra of certain large molecules. In this talk, I will describe the overall circuit, and the key components necessary for the circuit. The key components required are:
(a) Demonstration of an on demand single photon source with a good fidelity
(b) Demonstration of coupling a single photon into a superconducting resonator with a good fidelity.
(c) Demonstration of deterministic readout of the superconducting resonator with a good fidelity
(d) Coupling of two independent microwave resonators and demonstration of a hong-ou-mandel quantum interference experiment between two independently generated microwave photons with a good visibility.
(e) Theoretical development of a complete, finite temperature, boson sampling algorithm to model the vibrational spectra of complex molecules (between 10- 100 vibrational modes)
(f) Benchmarking of the boson sampling protocol under experimentally relevant error models, specific to superconducting designs
(g) Implementation of a microwave boson sampler that demonstrates a sampling protocol beyond 5 simulated modes.

The items (a)[1], (b)[2] were accomplished to a certain level, and item (d) was accomplished concerning the coherent coupling of two cavities [3]. These results will be discussed in the talk.

[1] Peng, et al, Nature Communication, accepted
[2] Inomata, et al, Nature Communication, submitted
[3] Peng, et al, PRL 2016

Simulation of molecular vibrational spectra using a superconducting
boson sampling quantum computer

Simon Devitt, Riken

 Quantum simulation has for a long time been a very ill defined term. Initially thought of as a stepping stone to a fully fault-tolerant quantum computer that can implement computations such as factoring, it has become clear that simulations as envisaged by Feynman will be even more resource intensive than applications such as factoring. While more stepping stone applications, mostly related to condensed matter systems, such as building a bose-hubbard simulator might be of interest to many researchers, it is unlikely to be a commercially viable application that would warrant hundreds of millions of dollars in development.

It is common estimated that 30% of worldwide supercomputing time is dedicated to quantum chemistry. While it is relatively unknown what fraction is devotes to what particular problem, it is clear that chemistry applications for quantum computers could be the most lucrative pathway forward. Recently, the Harvard group of Aspuru-Guzik proposed a method for simulating the vibrational spectra of small to mid sized molecules using what is known as a boson sampling quantum computer. In this talk we will review what a boson sampling system is, why it has attracted a lot of attention from the quantum computing community and how quantum chemistry calculations can be implemented on such a machine. We will finish the talk with a particular implementation in superconducting systems that is designed to mimic a linear optical quantum computer that is the platform of choice for boson sampling.

The 13th Quantum Simulation Meeting

Date
May 27th (Friday), 2016
Time
3:00 pm - 5:00 pm
Venue
JST Tokyo Headquarters (K's Gobancho, ② on the access map)
Meeting room A on the 9F
https://www.jst.go.jp/EN/location/index.html

Microwave cavities coupled to quantum dots: hybrid circuit-QED s

Neill Lambert, Christian Flindt Franco Nori

 We study the photon emission from a voltage-biased double quantum dot coupled to a microwave cavity [1,2], an example of so-called hybrid circuit-QED. We find that the resulting photonic statistics can exhibit a dynamic bistability, which we validated by showing that the distribution describing these statistics has the shape of a tilted ellipse. The switching rates which describe the bistability can be extracted from the electrical current and the shot noise in the quantum dots, and used to predict this elliptic form of the photonic distribution. We also explore how the state of the cavity can be manipulated and made "more coherent" with techniques from feedback control. As part of this project, we have developed a suite of numerical tools to calculate counting statistics of generic open-quantum-systems, which we are including in the QuTip library.
In addition, we show how multiple dots coupled to a common microwave cavity can exhibit photon-mediated electronic transport [2]. We develop a perturbative method to explore, order by order, how correlated transport statistics depends on the coupling to the common cavity, which acts like a "coupler" of distant dots.
[1] N. Lambert, F. Nori, and C. Flindt, Physical Review Letters 115, 216803 (2015).
[2] N. Lambert, C. Flindt, and F. Nori, Euro. Phys. Lett. 103, 17005 (2013)

Going beyond the Master equation:
exact solvers for strongly correlatedsystems

Franco Nori, Neill Lambert

 QuTiP [1,2] is open-source software for simulating the dynamics of open quantum systems. QuTiP aims to provide user-friendly and efficient numerical simulations of a wide variety of Hamiltonians, including those with arbitrary timedependence, commonly found in a wide range of physics applications such as quantum optics, trapped ions, superconducting circuits, and quantum nanomechanical resonators.
As part of the further development of QuTip we are developing efficient numerical implementations of exact system-bath solvers, to describe the dynamics of open quantum systems strongly coupled to non-Markovian environments. We have focused on the Hierarchy method of Tanimura and Kubo, and used it as both benchmark for other methods [3] and in as part of a study on the measurement of non-Markovianity [4]. More recently we have extended this method to model environments with arbitrary spectral densities. Our future plans include (i) extending this method to apply to time-dependent Hamiltonians, for use in quantum-control theory, and (ii) generalization to Fermionic baths, to study strongly correlated electronic systems. [1] J. R. Johansson, P. D. Nation, and F. Nori, Comp. Phys. Commun. 183, 1760 (2012).
[2] J. R. Johansson, P. D. Nation, and F. Nori, Comp. Phys. Commun. 184, 1234 (2013).
[3] H-B. Chen, N. Lambert, Y.-C. Cheng, Y.-N. Chen, F. Nori, Scientific Reports 5, (2015).
[4] S. L. Chen, N. Lambert, C. M. Li, A. Miranowicz, Y. N. Chen, F. Nori, Physical Review Letters 116 (2), 020503, (2016).

The 12th Quantum Simulation Meeting

Date
April 22nd (Friday), 2016
Time
3:00 pm - 5:00 pm
Venue
JST Tokyo Headquarters (K's Gobancho, ② on the access map)
Meeting room A on the 9F
https://www.jst.go.jp/EN/location/index.html
Theme
"Combinatorial optimization by quantum mechanics"
 
Prof. Hidetoshi Nishimori (Tokyo Institute of Technology)
Yoshihisa Yamamoto

The 11th Quantum Simulation Meeting

Date
February 2nd (Tuesday) 2016
Time
2:00 pm - 5:00 pm
Venue
JST Tokyo Headquarters (K's Gobancho, ② on the access map)
Meeting room A on the 9F
https://www.jst.go.jp/EN/location/index.html
Theme
"How can we realize room-temperature superconductors?"

A new theoretical model of copper oxide superconductors:
The pseudogap explained.

Prof. Hiroshi Kamimura (Tokyo University of Science, ImPACT Advisor)

Since Bednorz and Müller discovered high temperature superconductivity in copper oxides, thirty years have passed, but a consensus on its origin has not yet been obtained. However, paying attention to the experimental fact that copper oxides are Jahn-Teller materials, we have recently found that the Fermi surface of La2-xSrxCuO4 consists of Fermi arcs in the nodal regions and Fermi pockets in the antinodal regions in the momentum space. Here Fermi arcs are due to the itinerant hole of mainly O 2p character that forms a spin-singlet (SS) state with a localized spin, which forms an antiferromagnetic (AF) order when undoped but is perturbed by the doped hole, which changes the valency from O2- to O1- and thus weakens the superexchange coupling between the localized spins. Thus, an SS quasiparticle emerges and itinerates by the interplay of quantum entanglement and tunneling in the non-AF region. This quasiparticle yields a new concept of the Fermi arc, which is formed on a mobility edge separating the Anderson-localized and extended states in the momentum space. Another particle yielding the Fermi pocket emerges owing to the anti-Jahn-Teller (JT) type lattice distortion. We name this novel particle the KS (Kamimura-Suwa) particle, and it creates a new state which consists of alternating spin-singlet and spin-triplet states coexisting with the AF order, causing d-wave superconductivity in the phonon mechanism. The competition between Fermi pockets and arcs in the momentum space causes the outstanding temperature and doping evolutions of the Fermi surface structure, thereby clarifying an unusual behavior of the Fermi surface that has been ascribed to the pseudogap. This novel picture is derived from a theoretical model, called Kamimura-Suwa (K-S) model1, 2, and the predicted Fermi surface and a new phase diagram are consistent with recent photoemission experimental results3, 4. Finally we show that the electron-phonon interaction in copper oxides is unusually strong due to the anti-JT effect.
References:
1. H. Kamimura and Y. Suwa, J. Phys. Soc. Jpn. 62, 3368-3371 (1993).
2. H. Kamimura, T. Hamada, and H. Ushio, Phys. Rev. B 66, 054504 (2002).
3. T. Yoshida, et al. Phys. Rev. B 74, 224510 (2006).
4. I.M. Vishik, et al. Proc. Natl. Acad. Sci. USA 109, 18332-18337 (2012).
(Coworkers: Jaw-Shen Tsai, Osamu Sugino, Kunio Ishida, and Hideki Ushio)

Non-empirical calculation of superconducting Tc

Dr. Ryotaro Arita (First-Principles Materials Science Research Team / Riken CEMS)

First, I will review three state-of-the-art schemes to evaluate Tc from first principles: (1) SCDFT (2) ab initio Migdal-Eliashberg (3) DFT+Many body. Then I will focus on (1) and (2), and show our recent results on H2S/H3S under high pressures. Finally I will discuss what we learn from calculations for MgB2, doped diamond, and sulfur hydrides.

Barriers and breakthrough for designing higher-Tc superconductivity

Prof. Hideo Aoki (The University of Tokyo)

I shall discuss which calculational bottlenecks should be overcome for breakthrough in theoretical materials design and exploration of mechanisms for superconductivity with higher Tc's, from a viewpoint of quantum simulations. For fermion systems such as the Hubbard model, the sign problem is the most formidable barrier, while retardation effects require heavy computations for phonon-coupled systems such as the Holstein model. If one wants to propose a mechanism that goes beyond the usual boson (phonon, spin fluctuation, etc) exchange mechanisms, the sign problem can become even more serious. Hence these points are envisaged to be a key for pursuing a route to higher-Tc superconductivity.

The 10th Quantum Simulation Meeting

Date
October 30 (Fri.) 2015
Time
3:00 pm - 5:00 pm
Venue
Room No.115 on the 1st
Graduate School of Science Bldg.5
Graduate School of Science, Kyoto University,
http://yagura.scphys.kyoto-u.ac.jp/access-e.html

Dynamical properties of strongly-coupled phonon-mediated superconductors

Dr. Yuta Murakami (Department of Physics, The University of Tokyo )

Recent developments in laser techniques make it possible to access the amplitude Higgs mode in superconductors [1] and photo-induced superconductivity [2]. These experiments show possibilities to manipulate superconductivity through non-equilibrium physics, and perhaps it might be possible to achieve superconductivity with very high Tc out of equilibrium. In order to search for these potentials, it is important to obtain better understanding of properties of non-equilibrium superconductors.
In this talk, we present recent results from our study on non-equilibrium dynamics in strongly-coupled phonon-mediated superconductors with the dynamical mean-field theory. From the analysis of weak excitation, we have revealed properties of the amplitude mode beyond the BCS regime and also found a new mode. For systems far out of equilibrium, we have analyzed relaxation dynamics of the superconducting phase. There, we find an additional critical point other than the thermal one, which separates regimes with qualitatively different relaxation processes.
These works are collaborations with N. Tsuji, P. Werner and H. Aoki.
[1] R. Matsunaga et al., PRL. 111, 057002 (2013); R. Matsunaga et al., Science 345, 1145 (2014).
[2] D. Fausti. et al., Science 331, 189 (2011).

Josephson parametric oscillator and its application to quantum information processing

Dr. Zhirong Lin (Nakamura group/Riken)

Searching the ground state of the Ising Hamiltonian could map to combinatorial optimization problems, many of which are characterized as NP-hard problems. Recently, a programmable network of degenerate optical parametric oscillators was proposed to create an Ising machine capable of finding the ground state of the Ising Hamiltonian. In this talk, I will discuss a single parametric oscillator based on superconducting circuits, named Josephson parametric oscillator. The device consists of a superconducting coplanar waveguide resonator with a SQUID termination and a pump line inductively coupled to the SQUID loop. It is operated at the pump power above the oscillation threshold. We have demonstrated that Josephson parametric oscillator can work as a sensitive microwave phase demodulator. By employing the demodulation capability, we developed a new qubit readout scheme, which offer fast, high-fidelity, and non-destructive readout. In addition, we study the dynamics of the parametric oscillator near the threshold, in which the quantum fluctuations induce transitions between two phase states. Finally, I will discuss prospects for coupling Josephson parametric oscillators.

The 9th Quantum Simulation Meeting

Date
October 6, 2015
Time
3:00 pm - 5:00 pm
Venue
Meeting room on the 1F of Residential Bldg.
JST Tokyo Headquarters (Science Plaza)

Non-equilibrium quantum dynamics in optical lattices

Dr. Takeshi Fukuhara (RIKEN)

For the development of new materials, a better understanding of quantum many-body systems is important. Key concepts in such systems arequantum phase transition and non-equilibrium quantum dynamics, which are also expected to play crucial roles in improvement of superconducting transition temperatures. In the ImPACT project, I plan to try these challenges with experiments of ultracold atoms in optical lattices. One example is an ultrafast electron dynamics triggered by injecting a hole in the antiferromagnetic state. This kind of dynamics might be related to the high-Tc superconductors realized in underdoped region, where the holes are doped into the antiferromagnetic ordering states. In this talk, I will present some of my targets, and explain plans to approach them.

Hybrid cQED architecture as a model system of condensed matter

Dr. Giles Allison (RIKEN/Tarucha group)

Quantum electrodynamics is the interaction between light and matter at its most elementary level, i.e. between single quanta of photons and atoms. The field was first developed by enclosing atoms and photons within an optical cavity, cavity quantum electrodynamics (CQED), and then further by implementing the architecture on chip, so-called circuit electrodynamics (cQED) [1]. Here we show how a hybrid cQED architecture may act as a model system for investigating non-equilibrium physics in condensed matter. The hybrid architecture scheme consists of a microwave cavity coupled to a pair of spatially separated SiGe double quantum dots that may be driven out of equilibrium [2]. We show that key parameters such as inter-dot and dot-lead coupling can be used to control and manipulate non-locality of the system. The electron-photon coupling scheme is analogous to the electron-phonon coupling prevalent in other condensed matter problems. Finally, we conclude with prospects for coupling the photon mode to the electron spin within the quantum dots.
[1] A. Wallraff et al., Nature 431, 162-167 (2004); A. Blais et al., Phys. Rev. A 64, 062320 (2004).
[2] L.D. Contreras-Pulido et al., New Journal of Physics 15, 095008 (2013); N. Lambert et al., Europhys. Lett. 103, 17005 (2013);
C. Bergenfeldt et al., Phys. Rev. B 87, 195427 (2013).

The 8th Quantum Simulation Meeting

Date
August 28, 2015
Time
3:00 pm - 5:00 pm
Venue
Osaka University, Toyonaka Campus
H601 seminar room on the 6F of Building H, School of Science

BCS superfluidity of Fermionic atoms and prospects for high-Tc superconductivity

Dr. Yosuke Takasu (Takahashi group)

BCS superfluidity states of fermionic atoms as realized experimentally in 2003 and various quantum simulations of superconductivity in solid states are theoretically proposed. We planned quantum simulation of superconductivity by using of fermionic 171 Yb atoms in the 1S0 ground sate and the metastable 3P2 state. In this talk, after I briefly report our recent progress towards BCS superfluidity of fermionic Yb atoms including quick review of BCS superfluidity, I discuss prospects for possible application of the phenomena to high-Tc superconductivity in solid state.

Towards non-equilibrium spin physics in quantum dots

Dr. Kenta Takeda (Tarucha group)

Non-equilibrium physics is one of the important key phrases towards the realization of room-temperature superconductors in this ImPACT project. In this talk we will present our recent experimental approaches to study such non-equilibrium physics in an electron spin system. Electron spins confined within semiconductor quantum dots can be prepared and measured precisely using well-known electron spin resonance and Pauli spin blockade techniques. Additionally, the electron spins can be coupled to electron or nuclear spin baths which are typical open and/or non-equilibrium systems in semiconductor. By controlling the environments using pulse and/or feedback controls [1], we will explore the physics of non-equilibrium dynamics of the electron spins in quantum dots.
[1] H. Bluhm et al., PRL 105, 216803 (2010)

The 7th Quantum Simulation Meeting

Date
July 31, 2015
Time
3:00 pm - 5:00 pm
Venue
JST

Ultrastrong light-matter interaction for improving Tc of superconductivity

Dr. Motoaki Bamba(Ogawa group)

In the superconducting circuits, the interaction between artificial atoms and microwave in a resonator can be in the ultrastrong regime, where we can no longer apply the rotating-wave approximation (RWA) onto the light-matter interaction. The ultrastrong interaction can also be realized effectively in cold atoms driven coherently by laser light. The ultrastrong interaction brings out some remarkable phenomena (e.g., superradiant phase transition [1], laser [2], etc.) that are qualitatively different from the conventional regimes.
Further, since the free energy (or the energy of the ground state) is shifted due to the lack of the RWA [3], the Tc of the superconductivity may be improved by the ultrastrong interaction in the superconducting circuits in the thermal equilibrium.
[1] M. Bamba and T. Ogawa, Phys. Rev. A 90, 063825 (2014)
[2] M. Bamba and T. Ogawa, arXiv:1410.3912 [quant-ph]
[3] A. Canaguier-Durand, et al., Angew. Chem. 125, 10727 (2013)

Towards realization of magnetic ordered structures in an optical lattice using quantum annealing scheme

Dr. Shuta Nakajima (Takahashi group)

Quantum annealing is one of the leading candidates of practical quantum information processing. The quantum annealing, however, can be regarded not only as a method for searching the ground state of a Hamiltonian encoding a given problem but as a method for achieving the ground state of a physically interesting Hamiltonian. We propose an experiment for realizing magnetic ordered structures in an optical lattice using quantum annealing scheme.
We use two magnetic sublevels of ^3P_2 state of ytterbium atoms as effective spin states and introduce the Raman coupling bewteen these spin states, which can be regarded as a transverse field term added to the original Hamiltonian. The magnetic ordered structure arising from magnetic dipole-dipole interactions of ^3P_2 states could be realized by reducing the Raman coupling adiabatically. We will report the experimental setup and the progress of the experiment.

The 6th Quantum Simulation Meeting

Date
June 26, 2015
Time
15:00~17:00
Venue
Kyoto University

"Microwave photon detector for a photon based quantum simulation"

Kunihiro Inomata

In order to realize quantum simulations using superconducting circuits, artificial quantum systems and high-fidelity readout/control circuits are required. We have implemented a single microwave photon detector using an artificial $\Lambda$ atom as the high-fidelity readout circuits. This detector is applicable to a photon based quantum simulation.

"Towards fractional quantum Hall states from an exciton-polariton condensate"

Michael Fraser

The Bose-Einstein condensate (BEC) of exciton-polaritons in semiconductor microcavities is a macroscopically coherent bosonic state with the novel feature of tunable hybridisation of the properties of a semiconductor optical laser and dilute-gas atomic BEC. The emerging techniques for easy manipulation of this system via optical or lithographic means enables the creation of controlled dynamic flow and confinement to arbitrary potentials, and the further possibility of achieving strongly correlated and topologically non-trivial states of polaritons. In this seminar I will present an overview of the polariton condensate system and the latest techniques for manipulation and confinement alongside the theoretical proposal for, and progress in, experiments towards the observation of bosonic fractional quantum Hall-like states and the engineering of quantum simulators for highly-correlated states found in condensed matter and high energy physics.

The 5th Quantum Simulation Meeting

Date
May 29, 2015
Time
15:00~17:00
Venue
JST

“Analysis of quantum algorithms realized in different physical systems”

Anubhav Vardhan

“Matter-wave dynamics of ultracold bosons in an optical lieb lattice”

Shintaro Taie

The 4th Quantum Simulation Meeting

Date
May 8, 2015
Time
15:00~17:00
Venue
Osaka University

“Diagrammatic Monte Carlo method and stochastic optimization method of analytic continuation: unbiased results for various systems”

Andrey Mishchenko

“Dicke model in circuit QED”

Pierre-Marie Billangeon

The 3rd Quantum Simulation Meeting

Date
March 20, 2015
Time
15:00~17:00
Venue
JST

“Recent progress in high Tc-cuprate superconductors”

Special talk by Prof. Hiroshi Kamimura

“Cavity QED array - quantum simulation and nonequilibrium physics”

Tatsuro Yuge

“Development of quantum gas microscope of Yb atoms”

Jun Kobayashi

The 2nd Quantum Simulation Meeting

Date
February 27, 2015
Time
15:00~17:00
Venue
Kyoto University

“Theory for spontaneous coherence in semiconductor electron-hole-photon systems”

Makoto Yamaguchi

"Analog quantum simulation with superconducting circuit"

Zhihui Peng

The 1st Quantum Simulation Meeting

Date
January 30, 2015
Time
15:00~17:00
Venue
JST

“Quantum simulation for strongly correlated electronic systems”

Prof. Naoto Nagaosa

“Quantum simulation using ultracold ytterbium atoms”

Prof. Yoshiro Takahashi