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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…

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…

Quantum Gases · Physics 2020-12-15 Alexander Schuckert , Michael Knap

We discuss the possibility of defining an emergent local temperature in extended quantum many-body systems evolving out of equilibrium. For the most simple case of free-fermionic systems, we give an explicit formula for the effective…

Statistical Mechanics · Physics 2023-03-06 M. Coppola , D. Karevski

Eigenstate thermalization hypothesis (ETH) is discussed. We show that one common formulation of ETH does not necessarily imply thermalization of an observable of isolated many body quantum system. To get thermalization one has to postulate…

Statistical Mechanics · Physics 2020-02-06 Oleg Inozemcev , Igor Volovich

We show that confinement in the quantum Ising model leads to nonthermal eigenstates, in both continuum and lattice theories, in both one (1D) and two dimensions (2D). In the ordered phase, the presence of a confining longitudinal field…

Statistical Mechanics · Physics 2019-04-10 Andrew J. A. James , Robert M. Konik , Neil J. Robinson

Unconventional nonequilibrium phases with restricted correlation spreading and slow entanglement growth have been proposed to emerge in systems with confined excitations, calling their thermalization dynamics into question. Here, we show…

Statistical Mechanics · Physics 2024-10-25 Stefan Birnkammer , Alvise Bastianello , Michael Knap

We present exact results on a novel kind of emergent random matrix universality that quantum many-body systems at infinite temperature can exhibit. Specifically, we consider an ensemble of pure states supported on a small subsystem,…

Quantum Physics · Physics 2022-02-15 Wen Wei Ho , Soonwon Choi

Drawing inspiration from transportation theory, in this work we introduce the notions of "well-structured" and "stable" Gibbs states and we investigate their implications for quantum thermodynamics and its resource theory approach via…

Quantum Physics · Physics 2024-12-10 Frederik vom Ende , Emanuel Malvetti

Quantum thermalization in a many-body system is defined by the approach of local subsystems towards a universal form, describable as an ensemble of quantum states wherein observables acquire thermal expectation values. Recently, it was…

Quantum Physics · Physics 2023-09-19 Matteo Ippoliti , Wen Wei Ho

We demonstrate a generalized notion of eigenstate thermalization for translation-invariant quasifree fermionic models: the vast majority of eigenstates satisfying a finite number of suitable constraints (e.g. fixed energy and particle…

Statistical Mechanics · Physics 2018-01-18 Jonathon Riddell , Markus P. Mueller

We use the eigenstate thermalization hypothesis to derive a quantum master equation for a system weakly coupled to a chaotic finite-sized bath prepared in a pure state. We show that the emergence of Markovianity is controlled by the…

Quantum Physics · Physics 2025-09-03 Peter O'Donovan , Philipp Strasberg , Kavan Modi , John Goold , Mark T. Mitchison

The generalized hydrodynamics (GHD) formalism has become an invaluable tool for the study of spatially inhomogeneous quantum quenches in (1+1)-dimensional integrable models. The main paradigm of the GHD is that at late times local…

Statistical Mechanics · Physics 2020-09-24 Axel Cortés Cubero

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…

Quantum Physics · Physics 2015-06-19 Abdellah Khodja , Robin Steinigeweg , Jochen Gemmer

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is among the most fundamental problems in statistical physics. Recent theoretical studies have revealed that thermalization in isolated quantum systems has…

Statistical Mechanics · Physics 2018-05-23 Takashi Mori , Tatsuhiko N. Ikeda , Eriko Kaminishi , Masahito Ueda

We experimentally demonstrate how thermal properties in an non-equilibrium quantum many- body system emerge locally, spread in space and time, and finally lead to the globally relaxed state. In our experiment, we quench a one-dimensional…

Quantum Gases · Physics 2013-10-16 Tim Langen , Remi Geiger , Maximilian Kuhnert , Bernhard Rauer , Joerg Schmiedmayer

We study the evolution of a classical harmonic chain with nearest-neighbor interactions starting from domain wall initial conditions. The initial state is taken to be either a product of two Gibbs Ensembles (GEs) with unequal temperatures…

Statistical Mechanics · Physics 2024-09-25 Saurav Pandey , Abhishek Dhar , Anupam Kundu

After a sudden disruption, weakly interacting quantum systems first relax to a prethermalized state that can be described by perturbation theory and a generalized Gibbs ensemble. Using these properties of the prethermalized state we…

Strongly Correlated Electrons · Physics 2013-08-27 Michael Stark , Marcus Kollar

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…

Statistical Mechanics · Physics 2025-04-10 Silvia Pappalardi , Felix Fritzsch , Tomaž Prosen

We consider the question of thermalization for isolated quantum systems after a sudden parameter change, a so-called quantum quench. In part icular we investigate the pre-requisites for thermalization focusing on the statistical properties…

Quantum Gases · Physics 2011-01-10 G. Biroli , C. Kollath , A. Laeuchli

We study the expectation values of observables and correlation functions at long times after a global quantum quench. Our focus is on metallic (`gapless') fermionic many-body models and small quenches. The system is prepared in an…

Strongly Correlated Electrons · Physics 2017-01-30 D. M. Kennes , J. C. Pommerening , J. Diekmann , C. Karrasch , V. Meden