Thermalization and prethermalization in isolated quantum systems: a theoretical overview

T Mori, TN Ikeda, E Kaminishi… - Journal of Physics B …, 2018 - iopscience.iop.org
The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

Quantum equilibration, thermalization and prethermalization in ultracold atoms

M Ueda - Nature Reviews Physics, 2020 - nature.com
Over the past decade, there has been remarkable progress in our understanding of
equilibration, thermalization and prethermalization, due in large part to experimental …

Systematic construction of counterexamples to the eigenstate thermalization hypothesis

N Shiraishi, T Mori - Physical review letters, 2017 - APS
We propose a general method to embed target states into the middle of the energy spectrum
of a many-body Hamiltonian as its energy eigenstates. Employing this method, we construct …

Universality classes of non-Hermitian random matrices

R Hamazaki, K Kawabata, N Kura, M Ueda - Physical Review Research, 2020 - APS
Non-Hermitian random matrices have been utilized in such diverse fields as dissipative and
stochastic processes, mesoscopic physics, nuclear physics, and neural networks. However …

Emergence of Hilbert space fragmentation in Ising models with a weak transverse field

A Yoshinaga, H Hakoshima, T Imoto, Y Matsuzaki… - Physical Review Letters, 2022 - APS
The transverse-field Ising model is one of the fundamental models in quantum many-body
systems, yet a full understanding of its dynamics remains elusive in higher than one …

Test of the eigenstate thermalization hypothesis based on local random matrix theory

S Sugimoto, R Hamazaki, M Ueda - Physical Review Letters, 2021 - APS
We verify that the eigenstate thermalization hypothesis (ETH) holds universally for locally
interacting quantum many-body systems. Introducing random matrix ensembles with …

Entanglement witnesses in the chain: Thermal equilibrium and postquench nonequilibrium states

F Iglói, G Tóth - Physical Review Research, 2023 - APS
We use entanglement witnesses to detect entanglement in the XY chain in thermal
equilibrium and determine the temperature bound below which the state is detected as …

Thermalization without eigenstate thermalization hypothesis after a quantum quench

T Mori, N Shiraishi - Physical Review E, 2017 - APS
Nonequilibrium dynamics of a nonintegrable system without the eigenstate thermalization
hypothesis is studied. It is shown that, in the thermodynamic limit, this model thermalizes …

Violation of Eigenstate Thermalization Hypothesis in Quantum Field Theories with Higher-Form Symmetry

O Fukushima, R Hamazaki - Physical Review Letters, 2023 - APS
We elucidate how the presence of higher-form symmetries affects the dynamics of
thermalization in isolated quantum systems. Under reasonable assumptions, we analytically …

Proof of the absence of local conserved quantities in general spin-1/2 chains with symmetric nearest-neighbor interaction

M Yamaguchi, Y Chiba, N Shiraishi - arXiv preprint arXiv:2411.02163, 2024 - arxiv.org
We provide a rigorous proof of the absence of nontrivial local conserved quantities in all spin-
1/2 chains with symmetric nearest-neighbor interaction, except for known integrable …