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19982026
most citedCanonical Thermal Pure Quantum State

232 citations · 1.3k across the 64 of their papers we have counts for

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cond-mat.stat-mech2026

Second law of thermodynamics in closed quantum many-body systems

Yuuya Chiba, Yasushi Yoneta, Ryusuke Hamazaki +1

The second law of thermodynamics for adiabatic operations -- constraints on state transitions in closed systems under external control -- is one of the fundamental principles of th…

cond-mat.stat-mech2023★ 4 cited

Key Observable for Linear Thermalization

Yuuya Chiba, Akira Shimizu

For studies on thermalization of an isolated quantum many-body system, the fundamental issue is to determine whether a given system thermalizes or not. However, most studies tested…

cond-mat.stat-mech2021★ 1 cited

Statistical ensembles for phase coexistence states specified by noncommutative additive observables

Yasushi Yoneta, Akira Shimizu

A phase coexistence state cannot be specified uniquely by any intensive parameters, such as the temperature and the magnetic field, because they take the same values over all coexi…

cond-mat.stat-mech2019★ 6 cited

Anomalous Behavior of Magnetic Susceptibility Obtained by Quench Experiments in Isolated Quantum Systems

Yuuya Chiba, Kenichi Asano, Akira Shimizu

We examine how the magnetic susceptibility obtained by the quench experiment on isolated quantum systems is related to the isothermal and adiabatic susceptibilities defined in ther…

cond-mat.stat-mech2019★ 11 cited

Squeezed ensemble for systems with first-order phase transitions

Yasushi Yoneta, Akira Shimizu

All ensembles of statistical mechanics are equivalent in the sense that they give the equivalent thermodynamic functions in the thermodynamic limit. However, when investigating mic…

cond-mat.stat-mech2018★ 27 cited

From Linear to Nonlinear Responses of Thermal Pure Quantum States

Hiroyuki Endo, Chisa Hotta, Akira Shimizu

We propose a self-validating scheme to calculate the unbiased responses of quantum many-body systems to external fields of arbibraty strength at any temperature. By switching on a…

cond-mat.stat-mech2018★ 6 cited

Macroscopic Quantum Violation of Fluctuation-Dissipation Theorem in Equilibrium

Kentaro Kubo, Kenichi Asano, Akira Shimizu

We examine the Hall conductivity of macroscopic two-dimensional quantum system, and show that the observed quantities can sometimes violate the fluctuation dissipation theorem (FDT…

cond-mat.stat-mech2016★ 15 cited

Quantum Violation of Fluctuation-Dissipation Theorem

Akira Shimizu, Kyota Fujikura

We study quantum measurements of temporal equilibrium fluctuations in macroscopic quantum systems. It is shown that the fluctuation-dissipation theorem, as a relation between obser…

cond-mat.stat-mech2015★ 7 cited

Universal Property of Quantum Measurements of Equilibrium Fluctuations and Violation of Fluctuation-Dissipation Theorem

Kyota Fujikura, Akira Shimizu

For macroscopic quantum systems, we study what are measured when equilibrium fluctuations of macrovariables are measured in an ideal way that mimics classical ideal measurements as…

cond-mat.stat-mech2014

Liquid is More Rigid than Solid in a High-Frequency Region

Naoki Hasegawa, Tatsuro Yuge, Akira Shimizu

We compare rigidity of materials in two phases, liquid and solid phases. As a measure of the rigidity, we employ the one characterizing how firmly the material is fixed by low dens…

cond-mat.stat-mech2014★ 31 cited

Thermal Pure Quantum States of Many-Particle Systems

Masahiko Hyuga, Sho Sugiura, Kazumitsu Sakai +1

We generalize the thermal pure quantum (TPQ) formulation of statistical mechanics, in such a way that it is applicable to systems whose Hilbert space is infinite dimensional. Assum…

cond-mat.stat-mech2013

New Formulation of Statistical Mechanics using Thermal Pure Quantum States

Sho Sugiura, Akira Shimizu

We formulate statistical mechanics based on a pure quantum state, which we call a ``thermal pure quantum (TPQ) state''. A single TPQ state gives not only equilibrium values of mech…

cond-mat.stat-mech2013★ 232 cited

Canonical Thermal Pure Quantum State

Sho Sugiura, Akira Shimizu

A thermal equilibrium state of a quantum many-body system can be represented by a typical pure state, which we call a thermal pure quantum (TPQ) state. We construct the canonical T…

cond-mat.stat-mech2011★ 217 cited

Thermal Pure Quantum States at Finite Temperature

Sho Sugiura, Akira Shimizu

An equilibrium state can be represented by a pure quantum state, which we call a thermal pure quantum (TPQ) state. We propose a new TPQ state and a simple method of obtaining it. A…

cond-mat.stat-mech2011★ 1 cited

Nonequilibrium Molecular Dynamics Simulation of Interacting Many Electrons Scattered by Lattice Vibrations

Fan Lee, Tatsuro Yuge, Akira Shimizu

We propose a new model suitable for a nonequilibrium molecular dynamics (MD) simulation of electrical conductors. The model consists of classical electrons and atoms. The atoms com…

cond-mat.stat-mech2010★ 14 cited

Universal Properties of Nonlinear Response Functions of Nonequilibrium Steady States

Akira Shimizu

We derive universal properties of nonlinear response functions of nonequilibrium steady states. In particular, sum rules and asymptotic behaviors are derived. Their consequences ar…

cond-mat.stat-mech2009★ 24 cited

General properties of response functions of nonequilibrium steady states

Akira Shimizu, Tatsuro Yuge

We derive general properties, which hold for both quantum and classical systems, of response functions of nonequilibrium steady states. We clarify differences from those of equilib…

cond-mat.stat-mech2008★ 8 cited

Indications of Universal Excess Fluctuations in Nonequilibrium Systems

Tatsuro Yuge, Akira Shimizu

The fluctuation in electric current in nonequilibrium steady states is investigated by molecular dynamics simulation of macroscopically uniform conductors. At low frequencies, appr…

cond-mat.stat-mech2008★ 6 cited

Long-time tail in an electric conduction system

Tatsuro Yuge, Akira Shimizu

The long-time behavior of the velocity autocorrelation function in a classical two-dimensional electric conduction system is studied by the molecular dynamics simulation. In equili…

cond-mat.stat-mech2007★ 6 cited

Long-Time Behavior of Velocity Autocorrelation Function for Interacting Particles in a Two-Dimensional Disordered System

Tatsuro Yuge, Akira Shimizu

The long-time behavior of the velocity autocorrelation function (VACF) is investigated by the molecular dynamics simulation of a two-dimensional system which has both a many-body i…

cond-mat.stat-mech2001★ 9 cited

Energies and collapse times of symmetric and symmetry-breaking states of finite systems with a U(1) symmetry

Akira Shimizu, Takayuki Miyadera

We study quantum systems of volume V, which will exhibit the breaking of a U(1) symmetry in the limit of V \to \infty, when V is large but finite. We estimate the energy difference…

cond-mat.stat-mech2001★ 1 cited

Charge superselection rule does not rule out pure states of subsystems to be coherent superpositions of states with different charges

Akira Shimizu, Takayuki Miyadera

We consider a huge quantum system that is subject to the charge superselection rule, which requires that any pure state must be an eigenstate of the total charge. We regard some pa…

cond-mat.stat-mech2000★ 10 cited

Cluster Property and Robustness of Ground States of Interacting Many Bosons

Akira Shimizu, Takayuki Miyadera

We study spatial correlation functions of local operators of interacting many bosons confined in a box of a large, but volume V, for various `ground states' whose energy densities…