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相关论文: Scar Full Eigenstate Thermalization Hypothesis

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The Eigenstate Thermalization Hypothesis (ETH) represents a cornerstone in the theoretical understanding of the emergence of thermal behavior in closed quantum systems. The ETH asserts that expectation values of simple observables in energy…

统计力学 · 物理学 2024-05-15 Giorgio Cipolloni , Jonah Kudler-Flam

The eigenstate thermalization hypothesis (ETH) is the leading interpretation in our current understanding of quantum thermalization. Recent results uncovered strong connections between quantum correlations in thermalizing systems and the…

统计力学 · 物理学 2025-12-23 Gabriel O. Alves , Felix Fritzsch , Pieter W. Claeys

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

The eigenstate thermalization hypothesis (ETH) insists that for nonintegrable systems each energy eigenstate accurately gives microcanonical expectation values for a class of observables. As a mechanism for ETH to hold, we show that the…

统计力学 · 物理学 2018-05-15 Takaaki Monnai

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

In an isolated quantum many-body system undergoing unitary evolution, we study the thermalization of a subsystem, treating the rest of the system as a bath. In this setting, the eigenstate thermalization hypothesis (ETH) was proposed to…

统计力学 · 物理学 2023-11-30 Aram W. Harrow , Yichen Huang

The eigenstate thermalization hypothesis (ETH), which dictates that all diagonal matrix elements within a small energy shell be almost equal, is a major candidate to explain thermalization in isolated quantum systems. According to the…

统计力学 · 物理学 2018-02-27 Ryusuke Hamazaki , Masahito Ueda

Understanding the evolution towards thermal equilibrium of an isolated quantum system is at the foundation of statistical mechanics and a subject of interest in such diverse areas as cold atom physics or the quantum mechanics of black…

统计力学 · 物理学 2014-03-13 Sergei Khlebnikov , Martin Kruczenski

The Eigenstate-Thermalization-Hypothesis (ETH) has been established as the general framework to understand quantum statistical mechanics. Only recently has the attention been paid to so-called full ETH, which accounts for higher-order…

统计力学 · 物理学 2025-04-10 Silvia Pappalardi , Felix Fritzsch , Tomaž Prosen

Quantum thermalization is well understood via the Eigenstate Thermalization Hypothesis (ETH). The general form of ETH, describing all the relevant correlations of matrix elements, may be derived on the basis of a `typicality' argument of…

统计力学 · 物理学 2023-03-30 Silvia Pappalardi , Laura Foini , Jorge Kurchan

We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-flip dynamics, the Hilbert space, which…

统计力学 · 物理学 2017-09-25 Zhihao Lan , Stephen Powell

This work investigates the relationship between quantum chaos and thermalization in a three-species Bose-Josephson Junction (BJJ) with mutual interactions, without coupling to any external environment. The analysis is grounded in the…

统计力学 · 物理学 2026-04-21 Francesco Di Menna , Sergio Ciuchi , Simone Paganelli

The Eigenstate Thermalization Hypothesis(ETH) is a standard tool to understand the thermalization properties of an isolated quantum system. Its generalization to higher order correlations of matrix elements of local operators, dubbed the…

统计力学 · 物理学 2025-10-08 Tanay Pathak

The eigenstate thermalization hypothesis (ETH) postulates that the energy eigenstates of an isolated many-body system are thermal, i.e., each of them already yields practically the same expectation values as the microcanonical ensemble at…

统计力学 · 物理学 2015-05-29 Peter Reimann

Chaos and ergodicity are the cornerstones of statistical physics and thermodynamics. While classically even small systems like a particle in a two-dimensional cavity, can exhibit chaotic behavior and thereby relax to a microcanonical…

量子气体 · 物理学 2017-07-19 Anatoli Polkovnikov , Dries Sels

We discuss eigenstate correlations for ergodic, spatially extended many-body quantum systems, in terms of the statistical properties of matrix elements of local observables. While the eigenstate thermalization hypothesis (ETH) is known to…

统计力学 · 物理学 2019-06-11 Amos Chan , Andrea De Luca , J. T. Chalker

We generally expect quantum systems to thermalize and satisfy the eigenstate thermalization hypothesis (ETH), which states that finite energy density eigenstates are thermal. However, some systems, such as many-body localized systems and…

强关联电子 · 物理学 2021-09-08 Eli Chertkov , Bryan K. Clark

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

The eigenstate thermalization hypothesis (ETH) is the leading conjecture for the emergence of statistical mechanics in generic isolated quantum systems and is formulated in terms of the matrix elements of operators. An analog known as the…

统计力学 · 物理学 2024-10-04 Siddharth Jindal , Pavan Hosur

Quantum many-body scar (QMBS) in kinetically constrained quantum systems challenges the conventional eigenstate thermalization hypothesis (ETH). We develop an effective open-system description for constrained dynamics and introduce the…

量子物理 · 物理学 2026-03-09 Jia-wei Wang , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou