H. Tasaki

发表

Valence bond ground states in isotropic quantum antiferromagnets

E. Lieb, T. Kennedy, I. Affleck, 1988 .

From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example

H. Tasaki, 1997, cond-mat/9707253.

Time scales in the approach to equilibrium of macroscopic quantum systems.

Sheldon Goldstein, Takashi Hara, Hal Tasaki, 2013, Physical review letters.

Affleck–Kennedy–Lieb–Tasaki Model

H. Tasaki, 2020 .

Introduction to the Hubbard Model

H. Tasaki, 2020 .

The Hubbard model - an introduction and selected rigorous results

H. Tasaki, 1995 .

High-temperature expansion for nonequilibrium steady states in driven lattice gases.

H. Tasaki, R. Lefevere, 2005, Physical review letters.

Second Law of Thermodynamics for Macroscopic Mechanics Coupled to Thermodynamic Degrees of Freedom

C. Maes, H. Tasaki, 2005, cond-mat/0511419.

Steady State Thermodynamics

S. Sasa, H. Tasaki, 2004, cond-mat/0411052.

Rigorous index theory for one-dimensional interacting topological insulators

H. Tasaki, 2021, Journal of Mathematical Physics.

Steady State Thermodynamics

S. Sasa, H. Tasaki, 2004, cond-mat/0411052.

From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example

H. Tasaki, 1997, cond-mat/9707253.

Symmetry breaking and finite-size effects in quantum many-body systems

T. Koma, H. Tasaki, 1994, cond-mat/9708132.

Ground States of the Antiferromagnetic Heisenberg Chains

H. Tasaki, 2020 .

Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace

S. Goldstein, T. Hara, H. Tasaki, 2014, 1402.0324.

Metallic Ferromagnetism Supported by a Single Band in a Multi-band Hubbard Model

H. Tasaki, A. Tanaka, 2016, 1601.04265.

Hubbard model and the origin of ferromagnetism

H. Tasaki, 2008 .

Metallic ferromagnetism in the Hubbard model: a rigorous example.

H. Tasaki, A. Tanaka, 2006, Physical review letters.

Ferromagnetism in the Hubbard Model: A Constructive Approach

H. Tasaki, 2003, cond-mat/0301071.

Ferromagnetism in Itinerant Electron Systems: Rigorous Examples from Flat-Band Hubbard Models

H. Tasaki, 1994 .

The Marshall-Lieb-Mattis theorem for a class of t - J model

H. Tasaki, 1990 .

Introduction to the "second quantization" formalism for non-relativistic quantum mechanics: A possible substitution for Sections 6.7 and 6.8 of Feynman's "Statistical Mechanics"

H. Tasaki, 2018, 1812.10732.

The approach to thermal equilibrium and "thermodynamic normality" --- An observation based on the works by Goldstein, Lebowitz, Mastrodonato, Tumulka, and Zanghi in 2009, and by von Neumann in 1929

H. Tasaki, 2010, 1003.5424.

References for the lecture series “ Symmetry protected topological phases , topological indices , and operator algebra in quantum spin chains ”

H. Tasaki, 2019 .

The asymmetric valence-bond-solid states in quantum spin chains: The difference between odd and even spins

H. Tasaki, Daisuke Maekawa, 2022, Journal of Mathematical Physics.

The Lieb-Schultz-Mattis Theorem: A Topological Point of View

H. Tasaki, 2022, 2202.06243.

Skeleton inequalities and mean field properties for lattice spin systems

T. Hattori, T. Hara, H. Tasaki, 1985 .

Jarzynski Relations for Quantum Systems and Some Applications

H. Tasaki, 2000, cond-mat/0009244.

Lieb–Schultz–Mattis Type Theorems for Quantum Spin Chains Without Continuous Symmetry

Y. Ogata, H. Tasaki, 2019, Communications in Mathematical Physics.

Low-lying excitations in one-dimensional lattice electron systems

H. Tasaki, 2004, cond-mat/0407616.

Physics and Mathematics of Quantum Many-Body Systems

H. Tasaki, 2020, Graduate Texts in Physics.

Long-Range Order, “Tower” of States, and Symmetry Breaking in Lattice Quantum Systems

H. Tasaki, 2018, Journal of Statistical Physics.

Critical Behavior in a System of Branched Polymers

T. Hara, H. Tasaki, 1987 .

Mean field bound and GHS inequality

T. Hara, H. Tasaki, 1984 .

Two theorems that relate discrete stochastic processes to microscopic mechanics

H. Tasaki, 2007, 0706.1032.

Extended Clausius Relation and Entropy for Nonequilibrium Steady States in Heat Conducting Quantum Systems

H. Tasaki, Keiji Saito, 2011, 1105.2168.

Quantum Jarzynski-Sagawa-Ueda Relations

Hal Tasaki, H. Tasaki, Yohei Morikuni, 2010, 1012.2753.

Representation of Nonequilibrium Steady States in Large Mechanical Systems

Naoko Nakagawa, Teruhisa S. Komatsu, Shin-ichi Sasa, 2008, 0805.3023.

FROM NAGAOKA'S FERROMAGNETISM TO FLAT-BAND FERROMAGNETISM AND BEYOND : AN INTRODUCTION TO FERROMAGNETISM IN THE HUBBARD MODEL

H. Tasaki, 1997, cond-mat/9712219.

Ferromagnetism in the Hubbard model

H. Tasaki, A. Mielke, 1993, cond-mat/9305026.

The Origin of Ferromagnetism

H. Tasaki, 2020 .

Hidden symmetry breaking and the Haldane phase inS=1 quantum spin chains

Hal Tasaki, T. Kennedy, H. Tasaki, 1992 .

Scalar field theory from statistical mechanics

T. Hattori, T. Hara, H. Tasaki, 1987 .

Mott-insulator-like Bose-Einstein condensation in a tight-binding system of interacting bosons with a flat band

H. Tasaki, H. Katsura, Satoshi Morita, 2021, Physical Review Research.

Gaussian bounds for correlations in lattice spin systems

H. Tasaki, 1985 .

Off-diagonal long-range order implies vanishing charge gap

H. Tasaki, Haruki Watanabe, 2021, Physical Review B.

General Lieb–Schultz–Mattis Type Theorems for Quantum Spin Chains

Y. Ogata, H. Tasaki, Yuji Tachikawa, 2020, Communications in Mathematical Physics.

The Hubbard Model: Introduction and Selected Rigorous Results

H. Tasaki, 1995, cond-mat/9512169.

On the upper critical dimensions of random spin systems

Hal Tasaki, H. Tasaki, 1989 .

Stability of ferromagnetism in Hubbard models with nearly flat bands

H. Tasaki, 1996, 1901.02617.

Half-Filled Models: Lieb’s Theorems and the Origin of Antiferromagnetism and Ferrimagnetism

H. Tasaki, 2020 .

Ferromagnetism in the Hubbard model with topological/non-topological flat bands

H. Tasaki, H. Katsura, I. Maruyama, 2009, 0907.4564.

Lieb–Schultz–Mattis Type Theorems for Quantum Spin Chains Without Continuous Symmetry

Y. Ogata, H. Tasaki, 2018, Communications in Mathematical Physics.

Haldane Phase

H. Tasaki, 2020, Physics and Mathematics of Quantum Many-Body Systems.

Long-Range Order and Spontaneous Symmetry Breaking in the Antiferromagnetic Heisenberg Model

H. Tasaki, 2020, Physics and Mathematics of Quantum Many-Body Systems.

Typicality of Thermal Equilibrium and Thermalization in Isolated Macroscopic Quantum Systems

H. Tasaki, 2015, 1507.06479.

On the definition of entanglement entropy in lattice gauge theories

H. Tasaki, M. Nozaki, Noburo Shiba, 2015, 1502.04267.

Comment on "Extraction of work from a single thermal bath in the quantum regime"

H. Tasaki, 2000, cond-mat/0011099.

Metallic Ferromagnetism Supported by a Single Band in a Multi-band Hubbard Model

A. Tanaka, H. Tasaki, 2016, Journal of Statistical Physics.

Title On the definition of entanglement entropy in lattice gaugetheories

H. Tasaki, M. Nozaki, Noburo Shiba, 2019 .

Typicality of Thermal Equilibrium and Thermalization in Isolated Macroscopic Quantum Systems

H. Tasaki, 2016, Journal of Statistical Physics.

A note on ferromagnetism in the Hubbard model on the complete graph

H. Tasaki, A. Mielke, 1996, cond-mat/9606115.

Universal Trade-Off Relation between Power and Efficiency for Heat Engines.

Naoto Shiraishi, Keiji Saito, Hal Tasaki, 2016, Physical review letters.

Stability theory for nonlinear Klein-Gordon kinks and Morse's index theorem

H. Tasaki, Hiroyuki Ito, 1985 .

On the motion of the first Lee-Yang zero

H. Tasaki, 1987 .

Hyperscaling inequalities for percolation

Hal Tasaki, H. Tasaki, 1987 .

Fisher's inequality revisited

T. Hara, H. Tasaki, 1984 .

Steady-state thermodynamics for heat conduction: microscopic derivation.

S. Sasa, H. Tasaki, N. Nakagawa, 2007, Physical review letters.

Hohenberg-Mermin-Wagner-Type Theorems for Equilibrium Models of Flocking.

H. Tasaki, 2020, Physical review letters.

A two-dimensional isotropic quantum antiferromagnet with unique disordered ground state

E. Lieb, T. Kennedy, H. Tasaki, 1988 .

On the Local Equivalence Between the Canonical and the Microcanonical Ensembles for Quantum Spin Systems

H. Tasaki, 2016, Journal of Statistical Physics.

Hidden Z2 x Z2 symmetry breaking in Haldane-gap antiferromagnets.

Kennedy, T. Kennedy, H. Tasaki, 1992, Physical review. B, Condensed matter.

On the Local Equivalence Between the Canonical and the Microcanonical Ensembles for Quantum Spin Systems

H. Tasaki, 2018, Journal of Statistical Physics.

Quantum Statistical Mechanical Derivation of the Second Law of Thermodynamics: A Hybrid Setting Approach.

H. Tasaki, 2015, Physical review letters.

Rigorous results on valence-bond ground states in antiferromagnets.

Kennedy, E. Lieb, T. Kennedy, 1987, Physical review letters.

Power-law mass distribution of aggregation systems with injection.

H. Takayasu, H. Tasaki, Tasaki, 1988, Physical review. A, General physics.

Spontaneous Symmetry Breaking in Coupled Bose–Einstein Condensates

H. Tasaki, 2019, Journal of Statistical Physics.

Spontaneous Symmetry Breaking in Coupled Bose–Einstein Condensates

H. Tasaki, 2018, Journal of Statistical Physics.

Long-Range Order, “Tower” of States, and Symmetry Breaking in Lattice Quantum Systems

H. Tasaki, 2018, Journal of Statistical Physics.

Symmetry breaking in Heisenberg antiferromagnets

T. Koma, H. Tasaki, 1993 .

Long-Range Order and “Spontaneous Symmetry Breaking” in Bose–Einstein Condensates

H. Tasaki, 2020 .

Topological Phase Transition and Z_{2} Index for S=1 Quantum Spin Chains.

H. Tasaki, 2018, Physical review letters.

The second law of thermodynamics for pure quantum states

S. Goldstein, T. Hara, H. Tasaki, 2013, 1303.6393.

The second law of Thermodynamics as a theorem in quantum mechanics

H. Tasaki, 2000, cond-mat/0011321.

Steady state thermodynamics for heat conduction

S. Sasa, H. Tasaki, 2001, cond-mat/0108365.

Haldane gap antiferromagnets in a transverse magnetic field

H. Tasaki, 1991 .

Hidden Z2 x Z2 symmetry breaking and the Haldane phase in the S=1/2 quantum spin chain with bond alternation.

Kohmoto, H. Tasaki, M. Kohmoto, 1992, Physical review. B, Condensed matter.

Ferromagnetism in the Hubbard models with degenerate single-electron ground states.

H. Tasaki, Tasaki, 1992, Physical review letters.

Second Law of Thermodynamics for Macroscopic Mechanics Coupled to Thermodynamic Degrees of Freedom

C. Maes, H. Tasaki, 2005, cond-mat/0511419.

The Coefficient of Restitution Does Not Exceed Unity

H. Tasaki, 2004, cond-mat/0408481.

Ferromagnetism in Hubbard models.

H. Tasaki, Tasaki, 1995, Physical review letters.

Stability of ferromagnetism in the Hubbard model.

H. Tasaki, Tasaki, 1994, Physical review letters.

Extension of Nagaoka's theorem on the large-U Hubbard model.

H. Tasaki, Tasaki, 1989, Physical review. B, Condensed matter.

Time scales in the approach to equilibrium of macroscopic quantum systems.

S. Goldstein, T. Hara, H. Tasaki, 2013, Physical Review Letters.

The approach to equilibrium in a macroscopic quantum system for a typical nonequilibrium subspace

S. Goldstein, T. Hara, H. Tasaki, 2014, 1402.3380.

Entropy and Nonlinear Nonequilibrium Thermodynamic Relation for Heat Conducting Steady States

S. Sasa, H. Tasaki, N. Nakagawa, 2010, 1009.0970.

Lieb–Schultz–Mattis Theorem with a Local Twist for General One-Dimensional Quantum Systems

H. Tasaki, 2017, Journal of Statistical Physics.

Ju l 2 01 8 Topological phase transition and Z 2 index for S = 1 quantum spin chains

H. Tasaki, 2022 .

Statistical mechanical derivation of the second law of thermodynamics

H. Tasaki, 2000, cond-mat/0009206.

Exact Equalities and Thermodynamic Relations for Nonequilibrium Steady States

S. Sasa, H. Tasaki, N. Nakagawa, 2015, Journal of Statistical Physics.

Exact Equalities and Thermodynamic Relations for Nonequilibrium Steady States

S. Sasa, H. Tasaki, N. Nakagawa, 2014, 1405.0697.