統計力学セミナー予定表 2018年度


連絡先: 森貴司(moriあっと spin.phys.s.u-tokyo.ac.jp), 鳩村拓矢(hatomura あっと 以下同様)
宮下研究室伊藤研究室 (セミナー)| 藤堂研究室羽田野研究室 (セミナー)| 桂研究室

これからのセミナー

日時 場所 講演者(敬称略) 講演題目
12月10日10時30分 理学部1号館447教室 吉岡 信行 (東大, 桂研) Transforming Generalized Ising Model into Boltzmann Machine

これまでのセミナー

日時 講演者(敬称略) 講演題目
4月23日10時30分 中川 大也 (理研, 上田研) Topological classification of gapless Floquet states
5月7日10時30分 栂 裕太 (NIMS) Coercivity analysis based on atomistic spin model for rare-earth permanent magnet
5月14日10時30分 Per Arne Rikvold (Florida State University) Fluctuations in uniaxial ferromagnetic films driven by slowly oscillating magnetic fields with constant bias
5月21日10時30分 Cristian Enachescu (Alexandru Ioan Cuza University) Spin crossover nanoparticles. Thermal transition, photoexcitation and relaxation explained by elastic models.
5月28日10時30分 布能 謙 (理研) Thermodynamic costs of shortcuts to adiabaticity
6月18日10時30分 池田 達彦 (東大物性研, 常次研) Floquet-theoretical formulation and analysis of high-harmonic generation in solids
6月25日10時30分 川畑 幸平 (東大, 上田研) Topological Unification of Time-Reversal and Particle-Hole Symmetries in Non-Hermitian Physics
7月9日11時 中村 壮伸 (産総研) Diffeomorphism invariance requirement on free-energy landscape (FEL) to describe reaction phenomena
10月15日10時30分 大越 孝洋 (東大物工, 今田研) Resummation of diagrammatic series with zero convergence radius for the unitary Fermi gas
10月22日10時30分 Jurriaan Wouters (Utrecht University) Exact ground states for interacting Kitaev chains
10月29日10時30分 井戸 康太 (東大物性研) Correlation-induced superconductivity dynamically stabilized and enhanced by laser irradiation
11月5日10時30分 Troels Arnfred Bojesen (東大物工, 求研) How to train your Markov chain
11月12日10時30分 伊與田 英輝 (東大物工, 沙川研) The second law of thermodynamics for pure quantum states and the eigenstate thermalization hypothesis
11月19日10時30分 溝口 知成 (筑波大, 数理物質系) Majorana edge magnetization in the Kitaev honeycomb model
12月3日10時30分 Andrew Harter (東大生産研) PT-breaking thresholds in discrete periodic lattices: veiled symmetry
所属が書かれていない講演者は、宮下研、伊藤研、藤堂研、羽田野研、桂研の所属です。
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第16回

日時:12月10日10時30分より

場所:理学部1号館447教室

講演者:吉岡 信行 (東大, 桂研)

講演タイトル: Transforming Generalized Ising Model into Boltzmann Machine

講演要旨:
We find an exact mapping from the generalized Ising models to equivalent Boltzmann machines, i.e., the models with only the two-body interaction between physical and auxiliary binary variables accompanied by local external fields. More precisely, the appropriate combination of the algebraic transformations of the Boltzmann factor, namely the star-triangle and decoration-iteration transformations, allows one to express the model in terms of fewer-body interactions at the expense of the degrees of freedom. Furthermore, we discuss the benefit of the mapping in Monte Carlo simulations. The application of the Swendsen-Wang algorithm is demonstrated to show significant mitigation of the critical slowing down in a model with three-body interaction on the Kagome lattice.

第14回

日時:11月19日10時30分より

場所:理学部4号館1320教室

講演者:溝口 知成 (筑波大, 数理物質系)

講演タイトル: Majorana edge magnetization in the Kitaev honeycomb model

講演要旨:
Detecting Majorana fermions has attracted great interests recently in condensed matter physics. One of the promising candidates is the Kitaev honeycomb magnet [1], which is an exactly solvable quantum spin model with Majorana-type excitations. The exact solvability comes from the fact that the model can be mapped to a free Majorana fermion model by using the Jordan-Wigner transformation [2]. Besides, the free Majorana fermion model thus obtained has a weak topological character, which is reflected to the Majorana flat bands at the edges [3]. In this talk, we propose an approach to detect the Majorana fermions at the edges by measuring the edge magnetization. By using a standard technique to diagonalize free fermion models, we show that there appears a unidirectional magnetization without any transverse magnetization when applying a sufficiently weak magnetic field. This peculiar behavior of the edge magnetization is expected to be a clue to detect Majorana fermions in experiments.

[1] A. Kitaev, Ann. Phys. 321, 2 (2006).
[2] X.-Y. Feng, G.-M. Zhang, and T. Xiang, Phys. Rev. Lett. 98, 087204 (2007).
[3] M. Thakurathi, K. Sengupta, and D. Sen, Phys. Rev. B 89, 235434 (2014).

第13回

日時:11月12日10時30分より

場所:理学部1号館447教室

講演者:伊與田 英輝 (東大物工, 沙川研)

講演タイトル: The second law of thermodynamics for pure quantum states and the eigenstate thermalization hypothesis

講演要旨:
It is a fundamental problem to derive the macroscopic irreversibility from the microscopic laws of quantum mechanics. Thermalization of isolated quantum systems becomes an active area of research in theory, numerics and experiments, because modern experimental researches with artificial quantum systems have realized isolated quantum systems. We prove that the second law of thermodynamics holds for pure quantum states. The keys of the proof are the eigenstate thermalization hypothesis (ETH) and the locality of interactions. The ETH is a sufficient condition for thermalization and it is believed that it is true for non-integrable systems. We also executed numerical calculations with large deviation analysis to verify the ETH in near-integrable systems. As a result, we found that the ratio of athermal energy eigenstates decreases double exponentially in system size, which implies the strong ETH. The finite-size scaling with the double exponential form is also observed in near-integrable systems.

第12回

日時:11月5日10時30分より

場所:理学部4号館1320教室

講演者:Troels Arnfred Bojesen (東大物工, 求研)

講演タイトル: How to train your Markov chain

講演要旨:
I would like to introduce Policy-guided Monte Carlo (PGMC), a framework that aims at accelerating Markov chain Monte Carlo (MCMC) simulations by tapping into the powers of reinforcement learning. Contrary to other machine learning MCMC algorithms that have emerged in the world of computational physics, this approach provides a promising path towards automatically discovering efficient MCMC updates even without prior knowledge of the physics at hand.

My goal is to give a rather basic introduction to the ideas, starting from the very beginning. If you want a sneak peak of what to expect, please have a look at my preprint, arxiv.org/abs/1808.09095 (to be published in PRE).

第11回

日時:10月29日10時30分より

場所:理学部1号館447教室

講演者:井戸 康太 (東大物性研)

講演タイトル: Correlation-induced superconductivity dynamically stabilized and enhanced by laser irradiation

講演要旨:
Studies on out-of-equilibrium dynamics have paved a way to realize a new state of matter. Recently, superconductor-like properties above critical temperatures in equilibrium were observed in correlated electron materials whose phonon modes were selectively excited by strong laser irradiation[1]. These observations have inspired studies on an alternative and general strategy to be pursued for high-temperature superconductivity.

Recently, we have proposed an alternative way to enhance superconductivity in a correlated electron system without lattice degrees of freedoms[2]. In this study, by performing cutting-edge variational Monte Carlo (VMC) simulations, we have shown that superconductivity can be enhanced by irradiating laser with high frequency to two dimensional correlated electron systems. In this talk, I will introduce the details of VMC in and out of equilibrium, and explain the origin of the laser-enhanced superconductivity.

[1] W. Hu et al., Nat. Mater. 13, 705 (2014). S. Kaiser et al., Phys. Rev. B 89, 184516 (2014).
[2] K. Ido, T. Ohgoe and M. Imada, Sci. Adv. 3, e1700718 (2017).

第10回

日時:10月22日10時30分より

場所:理学部4号館1320教室

講演者:Jurriaan Wouters (Utrecht University)

講演タイトル:Exact ground states for interacting Kitaev chains

講演要旨:
In attempts to better understand superconducting nanowires, many variations of the original Kitaev chain [A. Yu Kitaev, Phys.-Usp. 44, 131 (2001)] have been studied. This one-dimensional model of spinless fermions with hopping and p-wave superconducting pairing has gotten a lot of attention for being a possible building block for quantum computation.

I will discuss the specific Kitaev model, with an inhomogeneous, alternating chemical potential, without and with interactions. In the non-interacting case the model possesses exact strong zero modes and the two-fold degenerate ground state in a factorized form. The interacting model inherits the ground states from the non-interacting model. Also, an estimation of the gap can be given in the interacting case, that is verified by DMRG results.

第9回

日時:10月15日10時30分より

場所:理学部1号館447教室

講演者:大越 孝洋 (東大物工, 今田研)

講演タイトル: Resummation of diagrammatic series with zero convergence radius for the unitary Fermi gas

講演要旨:
Feynman diagrams are powerful tools for studying various fields of physics. Still, the analysis usually involves approximations, because only some types of diagrams or low-order diagrams are considered there. However, the Monte Carlo method for unbiased sampling of Feynman diagrams has been recently developed. On the other hand, the diagrammatic series sometimes have zero radius of convergence. The question is whether it is still possible to make accurate predictions by summing up Feynman diagrams.

In this talk, we report high-precision results obtained by the bold-line diagrammatic Monte Carlo method for the unitary Fermi gas with zero convergence radius. We derive the large-order asymptotic behavior of the diagrammatic series, and we give mathematical arguments and numerical evidence for the resummability of the series by a specifically designed conformal-Borel transformation that incorporates the large-order behavior. Combining this new resummation method with diagrammatic Monte Carlo evaluation up to order 9, we obtain new results for the equation of state, which agree with the ultracold-atom experimental data, except for the 4-th virial coefficient for which our data point to the theoretically conjectured value. I will also report our accurate results of Tan's contact.

Reference:
R. Rossi, T. Ohgoe, K. Van Houcke, and F. Werner, Phys. Rev. Lett. 121, 130405 (2018).
R. Rossi, T. Ohgoe, E. Kozik, N. Prokof'ev, B. Svistunov, K. Van Houcke, and F. Werner, Phys. Rev. Lett. 121, 130406 (2018).

第8回

日時:7月9日11時より

場所:理学部4号館1320教室

講演者:中村 壮伸 (産総研)

講演タイトル: Diffeomorphism invariance requirement on free-energy landscape (FEL) to describe reaction phenomena

講演要旨:
Free-energy landscape (FEL) is aimed to describe reaction phenomena for the system whose kinetics is dominated by both energy and thermal fluctuation, such as biomolecules and glasses [1].
Traditional definition of FEL $F (z) = - T ln P (z)$ is represented via probability density function $P(z)$ as a function of reaction coordinate $z$.
We expect that FEL represents stable and transition states of the reaction as long as $z$ has ability to distinguish state.
However, the traditional definition cannot represent them in principle [2].
This is because FEL changes under diffeomorphism that conserves the ability to distinguish state.
We propose a new definition of FEL as a scalar under diffeomorphism by using diffusion tensor [3].
In this seminar, we explain the problem in the current definition, introduce new definition heuristically and show its properties.

[1] D. Frenkel, “Understanding Molecular Simulation From Algorithms to Applications” Academic Press, 2nd ed. (2001), C. Chipot and A. Pohorille “Free Energy Calculations ?Theory and Applications in Chemistry and Biology” Springer (2007)
[2] D. Frenkel,“Simulations: The dark side”, Eur. Phys. J. Plus (2013) 128: 10
[3] T. Nakamura, “Diffeomorphism invariance requirement on free-energy landscape to describe reaction phenomena” arXiv:1803.09034 (2018)

第7回

日時:6月25日10時30分より

場所:理学部4号館1320教室

講演者:川畑 幸平 (東大, 上田研)

講演タイトル: Topological Unification of Time-Reversal and Particle-Hole Symmetries in Non-Hermitian Physics

講演要旨:
Topological phases of matter have been widely explored in equilibrium closed systems, but richer properties appear in non-equilibrium open systems that are effectively described by non-Hermitian Hamiltonians [1-3]. While several properties unique to non-Hermitian topological systems were uncovered [4,5], the fundamental role of symmetry in non-Hermitian physics has yet to be understood. In particular, it has remained unclear how symmetry protects non-Hermitian topological phases. In this work [6], we show that time-reversal and particle-hole symmetries are topologically equivalent in the complex energy plane and hence unified in non-Hermitian physics. A striking consequence of this symmetry unification is the emergence of nonequilibrium topological phases of matter that are absent in Hermitian systems and hence unique to non-Hermitian systems. We illustrate this by presenting a non-Hermitian counterpart of the Majorana chain in an insulator with time-reversal symmetry and that of the quantum spin Hall insulator in a superconductor with particle-hole symmetry. Our work establishes the fundamental symmetry principle in non-Hermitian physics and paves the way toward a unified framework for non-equilibrium topological phases of matter.

[1] C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).
[2] K. Kawabata, Y. Ashida, and M. Ueda, Phys. Rev. Lett. 119, 190401 (2017).
[3] R. El-Ganainy et al., Nat. Phys. 14, 11 (2018).
[4] H. Shen, B. Zhen, and L. Fu, Phys. Rev. Lett. 120, 146402 (2018).
[5] M. A. Bandres et al., Science 358, eaar4005 (2018).
[6] K. Kawabata, S. Higashikawa, Z. Gong, Y. Ashida, and M. Ueda, arXiv: 1804.04676.

第6回

日時:6月18日10時30分より

場所:理学部1号館447教室

講演者:池田 達彦 (東大物性研, 常次研)

講演タイトル: Floquet-theoretical formulation and analysis of high-harmonic generation in solids

講演要旨:
Illuminated by an intense laser pulse, gases emit the high harmonics of the input laser frequency. Such high-harmonic generation (HHG) is a typical nonlinear optical process and has been the basis for the attosecond physics. Recently, HHG has attracted renewed attention owing to its successful observations in bulk solids [1], and its mechanism in solids is under active debate.

In this talk, we will present a theoretical formulation [2] of HHG in terms of the Floquet-Bloch wave function incorporating the periodicities in time and space. On the basis of this formulation, we analyze the HHG spectrum in a simple model. In particular, we discuss the mechanism and the behavior of the plateaus in the HHG spectrum.

[1] S. Ghimire et al., Nature Phys. 7, 138 (2011).
[2] T. N. Ikeda, K. Chinzei, H. Tsunetsugu, in preparation.

第5回

日時:5月28日10時30分より

場所:理学部4号館1320教室

講演者:布能 謙 (理研)

講演タイトル: Thermodynamic costs of shortcuts to adiabaticity

講演要旨:
Control techniques known as shortcuts to adiabaticity (STA) have attracted considerable interest in various fields such as quantum optics, quantum information and quantum thermodynamics since they mimic the quantum adiabatic dynamics of the system and suppress excitations even for arbitrary fast driving. In this talk, we discuss the thermodynamic cost of implementing STA, which arises as a natural question from both fundamental and practical point of view. We study the work done by the auxiliary control field which implements STA, and derive a fundamental inequality that relates nonequilibrium work fluctuations with the operation time needed to complete the task.

K. Funo, J.-N. Zhang, C. Chatou, K. Kim, M. Ueda and A. del Campo, PRL 118, 100602 (2017).

第4回

日時:5月21日10時30分より

場所:理学部1号館447教室

講演者:Cristian Enachescu (Alexandru Ioan Cuza University)

講演タイトル:Spin crossover nanoparticles. Thermal transition, photoexcitation and relaxation explained by elastic models.

講演要旨:
See this PDF file

第3回

日時:5月14日10時30分より

場所:理学部4号館1320教室

講演者:Per Arne Rikvold (Florida State University)

講演タイトル: Fluctuations in uniaxial ferromagnetic films driven by slowly oscillating magnetic fields with constant bias

講演要旨:
Ferromagnets perturbed by time-dependent magnetic fields are technologically important examples of nonequilibrium physics. Using kinetic Monte Carlo simulations and droplet theory of magnetization reversal, we explain recent experiments [1] on ordered, uniaxial ferromagnetic films forced by oscillating fields. The associated dynamic phase transition (DPT) at a critical oscillation period is known to be in the equilibrium Ising universality class. Consistent with the experiments, we find that the response to a constant bias field for oscillation periods above the critical period of the DPT differs radically from the field response of an equilibrium ferromagnet above its critical temperature: instead of a wide, central susceptibility maximum, “sidebands” are observed. This effect is independent of the system size for large systems, ruling out critical behavior associated with a phase transition. Rather, it is a stochastic-resonance phenomenon that has no counterpart in the corresponding thermodynamic phase transition, providing a reminder that the equivalence of the DPT to an equilibrium phase transition is limited to the critical region near the critical period and zero bias [2].

[1] P. Riego, P. Vavassori, and A. Berger, Phys. Rev. Lett. 118, 117202 (2017).
[2] G. M. Buendia and P. A. Rikvold, Phys. Rev. B 96, 134306 (2017).

第2回

日時:5月7日10時30分より

場所:理学部4号館1320教室

講演者:栂 裕太 (NIMS)

講演タイトル: Coercivity analysis based on atomistic spin model for rare-earth permanent magnet

講演要旨:
The focus of rare-earth permanent magnets research, particularly Nd2Fe14B magnet, is to increase the coercive field Hc and to improve its temperature dependency. The Hc has many reasons why it is much smaller than the anisotropy magnetic field: previous research has mainly studied the influence of grain boundaries magnetism and of dipole-dipole interactions based on continuum approximation models [1]. On the other hands, recent first-principles calculations have been proposing that changes in atomic-scale magnetic properties (e.g., magnetic anisotropy, exchange coupling, etc.) near the interfaces significantly affect the coercivity [2].
To examine how the magnetic properties in atomic scale and thermal fluctuations affect the coercivity, we have constructed an atomistic classical Heisenberg model using many parameters from first-principles calculations [3]. By comparing the atomistic model and the continuum approximation model via magnetic anisotropy and domain wall energy, we clarify that the coercivity depends on the orientation of the permanent magnet. This orientation dependence is attributed to the layered structure of Nd atoms and weak exchange couplings between Nd and Fe atoms [4].
Additionally, in this talk, we introduce our attempts on the coercivity analysis by free energy landscape calculation using replica-exchange Wang-Landau method [5] which is a massive parallelization technique for multicanonical Monte Carlo methods.

[1] R. Dittrich, et al., J. Mag. Mag. Mater. 250, 12 (2002).
[2] Y. Tatetsu, S. Tsuneyuki, and Y. Gohda, Phys. Rev. Appl. 6, 064029 (2016).
[3] Y. Toga, et al., Phys. Rev. B 94, 174433 (2016); 94, 219901 (2016).
[4] Y. Toga, M. Nishino, S. Miyashita, T. Miyake, A. Sakuma, arXiv:1804.05824
[5] T. Vogel, et. al., Phys. Rev. Lett. 110, 210603 (2013).

第1回

日時:4月23日10時30分より

場所:理学部1号館447教室

講演者:中川 大也 (理研, 上田研)

講演タイトル: Topological classification of gapless Floquet states

講演要旨:
When a quantum system is defined on lattice, the discrete spatial translational symmetry leads to a periodic structure in momentum space, i.e. the Brillouin zone. The topology of the Brillouin zone imposes various constraints on realizable band structures. For example, the Nielsen-Ninomiya theorem [1,2] shows that a single chiral fermion cannot be realized in lattice systems. On the other hand, in periodically driven quantum systems (called Floquet systems), the time translational symmetry is also discrete, and therefore the (quasi-)energy has a ``Brillouin zone". Surprisingly, this periodic structure of the energy space enables exotic band structures that are prohibited in static systems, such as the single chiral fermion [3,4]. In this talk, we first show that the exotic band structures are deeply related to topology of unitary time-evolution operators. Next, based on a topological classification of unitary time-evolution operators with symmetries, we demonstrate that a wide range of lattice-prohibited band structures are realizable using topological Floquet unitary operators. Specifically, we show that all gapless surface states of topological insulators and superconductors in ten Altland-Zirnbauer symmetry classes are realizable as bulk quasi-energy spectrum in Floquet systems.

References:
[1] H. Nielsen and M. Ninomiya, Nucl. Phys. B 185, 20 (1981).
[2] H. Nielsen and M. Ninomiya, Nucl. Phys. B 185, 173 (1981).
[3] T. Kitagawa et al., Phys. Rev. B 82, 235114 (2010).
[4] S. Higashikawa, M. Nakagawa, and M. Ueda, in preparation.