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There is a dichotomy in the nonequilibrium dynamics of quantum many body systems. In the presence of integrability, expectation values of local operators equilibrate to values described by a generalized Gibbs ensemble, which retains…

强关联电子 · 物理学 2019-05-15 Neil J. Robinson , Andrew J. A. James , Robert M. Konik

We investigate the eigenstate thermalization hypothesis (ETH) for a translationally invariant quantum spin system on the $d$-dimensional cubic lattice under the periodic boundary conditions. It is known that the ETH holds in this model for…

统计力学 · 物理学 2016-10-03 Takashi Mori

The Eigenstate Thermalization Hypothesis (ETH) has played a key role in recent advances in the high energy and condensed matter communities. It explains how an isolated quantum system in a far-from-equilibrium initial state can evolve to a…

量子物理 · 物理学 2026-04-14 Elena Cáceres , Stefan Eccles , Jason Pollack , Sarah Racz

We test the eigenstate thermalization hypothesis (ETH) for 2+1 dimensional SU(2) lattice gauge theory. By considering the theory on a chain of plaquettes and truncating basis states for link variables at $j=1/2$, we can map it onto a…

高能物理 - 格点 · 物理学 2023-08-22 Xiaojun Yao

We study the validity of the eigenstate thermalization hypothesis (ETH) and its role for the occurrence of initial-state independent (ISI) equilibration in closed quantum many-body systems. Using the concept of dynamical typicality, we…

量子物理 · 物理学 2015-06-19 Abdellah Khodja , Robin Steinigeweg , Jochen Gemmer

The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. So far, however, experimental studies have focused on the relaxation dynamics of observables as…

量子气体 · 物理学 2020-12-15 Alexander Schuckert , Michael Knap

SU(N) symmetry is incompatible with the many-body localized (MBL) phase, even when strong disorder is present. However, recent studies have shown that finite-size SU(2) systems exhibit non-ergodic, subthermal behavior, characterized by the…

We explore thermalization and quantum dynamics in a one-dimensional disordered SU(2)-symmetric Floquet model, where a many-body localized phase is prohibited by the non-abelian symmetry. Despite the absence of localization, we find an…

无序系统与神经网络 · 物理学 2020-12-15 Zhi-Cheng Yang , Stuart Nicholls , Meng Cheng

Despite the unitary evolution of closed quantum systems, long-time expectation of local observables are well described by thermal ensembles, providing the foundation of quantum statistical mechanics. A promising route to understanding this…

量子物理 · 物理学 2026-02-03 Yuke Zhang , Pengfei Zhang

We revisit the J1-J2 frustrated Heisenberg spin-1/2 chain with dimerization ({\delta}) or modulation in the nearest-neighbor couplings to investigate its thermalization behavior. While the dimerization tends to induce localization, the…

统计力学 · 物理学 2025-08-05 Smitarani Mishra , Shaon Sahoo

The eigenstate thermalization hypothesis (ETH) provides a cornerstone for understanding thermalization in isolated quantum systems, linking quantum chaos with statistical mechanics. In this work, we extend the ETH framework to open quantum…

量子物理 · 物理学 2025-05-27 Filippo Ferrari , Vincenzo Savona , Fabrizio Minganti

The eigenstate thermalization hypothesis (ETH) and the theory of linear response (LRT) are celebrated cornerstones of our understanding of the physics of many-body quantum systems out of equilibrium. While the ETH provides a generic…

统计力学 · 物理学 2019-05-29 Jonas Richter , Jochen Gemmer , Robin Steinigeweg

It is commonly believed that quantum isolated systems satisfying the eigenstate thermalization hypothesis (ETH) are diffusive. We show that this assumption is too restrictive, since there are systems that are asymptotically in a thermal…

统计力学 · 物理学 2016-10-25 David J. Luitz , Yevgeny Bar Lev

A plausible mechanism of thermalization in isolated quantum systems is based on the strong version of the eigenstate thermalization hypothesis (ETH), which states that all the energy eigenstates in the microcanonical energy shell have…

统计力学 · 物理学 2018-05-23 Toru Yoshizawa , Eiki Iyoda , Takahiro Sagawa

We present preliminary numerical evidence for the hypothesis that the Hamiltonian SU(2) gauge theory discretized on a lattice obeys the Eigenstate Thermalization Hypothesis (ETH). To do so we study three approximations: (a) a linear…

高能物理 - 格点 · 物理学 2024-08-29 Lukas Ebner , Berndt Müller , Andreas Schäfer , Clemens Seidl , Xiaojun Yao

The eigenstate thermalization hypothesis provides a framework for understanding thermalization in isolated quantum many-body systems by characterizing statistical properties of local observables in energy eigenstates. Here we demonstrate…

统计力学 · 物理学 2026-05-11 Pavel Orlov , Rustem Sharipov , Enej Ilievski

The Eigenstate Thermalization Hypothesis (ETH) explains emergence of the thermodynamic equilibrium by assuming a particular structure of observable's matrix elements in the energy eigenbasis. Schematically, it postulates that off-diagonal…

The eigenstate thermalization hypothesis (ETH) attempts to bridge the gap between quantum mechanical and statistical mechanical descriptions of isolated quantum systems. Here, we define unbiased measures for how well the ETH works in…

统计力学 · 物理学 2016-05-04 Pavan Hosur , Xiao-Liang Qi

The eigenstate thermalization hypothesis (ETH) is a successful theory that establishes the criteria for ergodicity and thermalization in isolated quantum many-body systems. In this work, we investigate the thermalization properties of…

To bypass the reliance on local observables in verifying the eigenstate thermalization hypothesis (ETH), we introduce an observable-independent measure of distinguishability based on the variance of a rescaled local operator. We establish a…

量子物理 · 物理学 2025-07-28 Zhiqiang Huang