Search Results - "Tasaki, Hal"

Quantum Statistical Mechanical Derivation of the Second Law of Thermodynamics: A Hybrid Setting Approach by Tasaki, Hal

“…Based on quantum statistical mechanics and microscopic quantum dynamics, we prove Planck's and Kelvin's principles for macroscopic systems in a general and…”
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Universal Trade-Off Relation between Power and Efficiency for Heat Engines by Shiraishi, Naoto, Saito, Keiji, Tasaki, Hal

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Spontaneous Symmetry Breaking in Coupled Bose–Einstein Condensates by Tasaki, Hal

“…We study a system of two hardcore bosonic Hubbard models weakly coupled with each other by tunneling. Assuming that the single uncoupled model exhibits…”
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Nature Abhors a Vacuum: A Simple Rigorous Example of Thermalization in an Isolated Macroscopic Quantum System by Shiraishi, Naoto, Tasaki, Hal

“…We show, without relying on any unproven assumptions, that a low-density free fermion chain exhibits thermalization in the following (restricted) sense. We…”
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Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace by Goldstein, Sheldon, Hara, Takashi, Tasaki, Hal

“…The fact that macroscopic systems approach thermal equilibrium may seem puzzling, for example, because it may seem to conflict with the time-reversibility of…”
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General Lieb–Schultz–Mattis Type Theorems for Quantum Spin Chains by Ogata, Yoshiko, Tachikawa, Yuji, Tasaki, Hal

“…We develop a general operator algebraic method which focuses on projective representations of symmetry group for proving Lieb–Schultz–Mattis type theorems,…”
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Ground states of the spin-1 Bose-Hubbard model by Katsura, Hosho, Tasaki, Hal

“…We prove basic theorems about the ground states of the S=1 Bose-Hubbard model. The results are quite universal and depend only on the coefficient U2 of the…”
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From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example by Tasaki, Hal

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General Lieb–Schultz–Mattis Type Theorems for Quantum Spin Chains by Ogata, Yoshiko, Tachikawa, Yuji, Tasaki, Hal

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Exact Equalities and Thermodynamic Relations for Nonequilibrium Steady States by Komatsu, Teruhisa S., Nakagawa, Naoko, Sasa, Shin-ichi, Tasaki, Hal

“…We study thermodynamic operations which bring a nonequilibrium steady state (NESS) to another NESS in physical systems under nonequilibrium conditions. We…”
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Steady-state thermodynamics for heat conduction: microscopic derivation by Komatsu, Teruhisa S, Nakagawa, Naoko, Sasa, Shin-ichi, Tasaki, Hal

“…Starting from microscopic mechanics, we derive thermodynamic relations for heat conducting nonequilibrium steady states. The extended Clausius relation enables…”
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Mott-insulator-like Bose-Einstein condensation in a tight-binding system of interacting bosons with a flat band by Katsura, Hosho, Kawashima, Naoki, Morita, Satoshi, Tanaka, Akinori, Tasaki, Hal

“…We propose a class of tight-binding systems of interacting bosons with a flat band, which are exactly solvable in the sense that one can explicitly write down…”
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Metallic ferromagnetism in the Hubbard model: a rigorous example by Tanaka, Akinori, Tasaki, Hal

“…We present the first rigorous example of the Hubbard model in any dimension which exhibits metallic ferromagnetism. The model is a genuine Hubbard model with…”
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Typicality of Thermal Equilibrium and Thermalization in Isolated Macroscopic Quantum Systems by Tasaki, Hal

“…Based on the view that thermal equilibrium should be characterized through macroscopic observations, we develop a general theory about typicality of thermal…”
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Entropy and Nonlinear Nonequilibrium Thermodynamic Relation for Heat Conducting Steady States by Komatsu, Teruhisa S., Nakagawa, Naoko, Sasa, Shin-ichi, Tasaki, Hal

“…Among various possible routes to extend entropy and thermodynamics to nonequilibrium steady states (NESS), we take the one which is guided by operational…”
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On the Local Equivalence Between the Canonical and the Microcanonical Ensembles for Quantum Spin Systems by Tasaki, Hal

“…We study a quantum spin system on the d -dimensional hypercubic lattice Λ with N = L d sites with periodic boundary conditions. We take an arbitrary…”
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Hohenberg-Mermin-Wagner-Type Theorems for Equilibrium Models of Flocking by Tasaki, Hal

“…We study a class of two-dimensional models of classical hard-core particles with Vicsek type "exchange interaction" that aligns the directions of motion of…”
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Topological Phase Transition and Z2 Index for S=1 Quantum Spin Chains by Tasaki, Hal

“…We study S=1 quantum spin systems on the infinite chain with short ranged Hamiltonians that have a certain rotational and discrete symmetry. We define a Z2…”
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Long-Range Order, “Tower” of States, and Symmetry Breaking in Lattice Quantum Systems by Tasaki, Hal

“…In a quantum many-body system where the Hamiltonian and the order operator do not commute, it often happens that the unique ground state of a finite system…”
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Ferromagnetism in the Hubbard model: A constructive approach by TASAKI, Hal

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