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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

Understanding how out-of-equilibrium states thermalize under quantum unitary dynamics is an important problem in many-body physics. In this work, we propose a statistical ansatz for the matrix elements of non-equilibrium initial states in…

统计力学 · 物理学 2025-04-30 Laura Foini , Anatoly Dymarsky , Silvia Pappalardi

We investigate dynamical equilibration of expectation values in closed quantum systems for realistic non-equilibrium initial states. Thereby we find that the corresponding long time expectation values depend on the initial expectation…

统计力学 · 物理学 2017-06-28 Christian Bartsch , Jochen Gemmer

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

Isolated quantum systems typically approach thermal equilibrium as described by the Eigenstate Thermalization Hypothesis (ETH). Going beyond this involves either higher order correlators (full thermalization) or the formation of state…

量子物理 · 物理学 2026-05-01 Tabea Herrmann , Felix Fritzsch , Arnd Bäcker

The effects of the initial temperature in the out of equilibrium quantum field dynamics in the presence of an homogeneous external field are investigated. We consider an initial thermal state of temperature T for a constant external field…

高能物理 - 唯象学 · 物理学 2007-05-23 F. J. Cao , M. Feito

Deriving conditions under which a macroscopic system thermalizes directly from the underlying quantum many-body dynamics of its microscopic constituents is a long-standing challenge in theoretical physics. The well-known eigenstate…

统计力学 · 物理学 2022-02-02 Lennart Dabelow , Patrick Vorndamme , Peter Reimann

We study the internal dynamics of an elementary quantum system placed close to a body held at a temperature different from that of the surrounding radiation. We derive general expressions for lifetime and density matrix valid for bodies of…

量子物理 · 物理学 2015-03-20 Bruno Bellomo , Riccardo Messina , Mauro Antezza

We discuss how the thermalization of an elementary quantum system is modified when the system is placed in an environment out of thermal equilibrium. To this aim we provide a detailed investigation of the dynamics of an atomic system placed…

量子物理 · 物理学 2013-01-16 Bruno Bellomo , Riccardo Messina , Didier Felbacq , Mauro Antezza

If we prepare an isolated, interacting quantum system in an eigenstate and perturb a local observable at an initial time, its expectation value will relax towards a thermal expectation value, even though the time evolution of the system is…

量子物理 · 物理学 2024-06-04 Tobias Helbig , Tobias Hofmann , Ronny Thomale , Martin Greiter

Understanding how an isolated quantum system evolves toward a thermal state from an initial state far from equilibrium such as one prepared by a global quantum quench has attracted significant interest in recent years. This phenomenon can…

高能物理 - 理论 · 物理学 2025-01-23 Mohsen Alishahiha , Mohammad Javad Vasli

Linear response theory (LRT) is one of the main approaches to the dynamics of quantum many-body systems. However, this approach has limitations and requires, e.g., that the initial state is (i) mixed and (ii) close to equilibrium. In this…

统计力学 · 物理学 2019-01-15 Jonas Richter , Robin Steinigeweg

An analytical prediction is established of how an isolated many-body quantum system relaxes towards its thermal long-time limit under the action of a time-independent perturbation, but still remaining sufficiently close to a reference case…

统计力学 · 物理学 2020-03-25 Lennart Dabelow , Peter Reimann

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

This work aims at understanding the interplay between the Eigenstate Thermalization Hypothesis (ETH), initial state independent equilibration and quantum chaos in systems that do not have a direct classical counterpart. It is based on…

量子物理 · 物理学 2016-04-20 Abdellah Khodja , Daniel Schmidtke , Jochen Gemmer

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) 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

An isolated quantum many-body system in an initial pure state will come to thermal equilibrium if it satisfies the eigenstate thermalization hypothesis (ETH). We consider alternatives to ETH that have been proposed. We first show that von…

统计力学 · 物理学 2012-03-15 Marcos Rigol , Mark Srednicki

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…

Ergodic isolated quantum many-body systems satisfy the eigenstate thermalization hypothesis (ETH), i.e., the expectation values of local observables in the system's eigenstates approach the predictions of the microcanonical ensemble.…

无序系统与神经网络 · 物理学 2025-11-25 Adith Sai Aramthottil , Ali Emami Kopaei , Piotr Sierant , Lev Vidmar , Jakub Zakrzewski
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