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We investigate work extraction from integrable quantum systems under unitary operations. As a model system, we consider non-interacting fermions in one dimension. Thanks to its integrability, this system does not thermalize after a…

Quantum Gases · Physics 2017-08-09 Wouter Verstraelen , Dries Sels , Michiel Wouters

We investigate the impact of the boundary shape on the thermalization behavior of a confined system of classical hard disks at low packing fraction and thus in the gas regime. We use both analytical calculations and numerical simulations,…

Statistical Mechanics · Physics 2026-02-25 Francesco Caravelli , Marc D. Vuffray

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the dynamics of entanglement for a system consisting of two uncoupled harmonic oscillators interacting with a…

Quantum Physics · Physics 2015-05-27 Aurelian Isar

Recently, it was understood that modified concepts of locality played an important role in the study of extended quantum systems out of equilibrium, in particular in so-called generalized Gibbs ensembles. In this paper, we rigorously study…

Mathematical Physics · Physics 2018-10-23 Benjamin Doyon

The Generalized Gibbs Ensemble (GGE) is relevant to understand the thermalization of quantum systems with an infinite set of conserved charges. In this work, we analyze the GGE partition function of 2D Conformal Field Theories (CFTs) with a…

High Energy Physics - Theory · Physics 2021-06-02 Fábio Novaes

We consider ensembles of pure Gaussian states parametrized by single-mode marginals and (optionally) specific mode-mode correlations. Such ensembles provide a model for the final states when isolated quantum systems thermalize, as they can…

Quantum Physics · Physics 2026-03-24 Erik Aurell , Lucas Hackl , Mario Kieburg

The projected ensemble is based on the study of the quantum state of a subsystem $A$ conditioned on projective measurements in its complement. Recent studies have observed that a more refined measure of the thermalization of a chaotic…

Quantum Physics · Physics 2024-09-12 Amos Chan , Andrea De Luca

We consider the non-equilibrium dynamics in isolated systems, described by quantum field theories (QFTs). After being prepared in a density matrix that is not an eigenstate of the Hamiltonian, such systems are expected to relax locally to a…

Quantum Gases · Physics 2015-06-02 F. H. L. Essler , G. Mussardo , M. Panfil

Macroscopic thermodynamics, via the weak coupling approximation, assumes that the equi?librium properties of a system are not affected by interactions with its environment. However, this assumption may not hold for quantum systems, where…

Quantum Physics · Physics 2023-05-23 Z. Abuali , F. H. Kamin , R. J. S. Afonso , D. O. Soares-Pinto , S. Salimi

Deep thermalisation -- where ensembles of pure states on a local subsystem, conditioned on measurement outcomes on its complement, approach universal maximum-entropy ensembles -- represents a stronger form of ergodicity than conventional…

Quantum Physics · Physics 2026-01-13 Alan Sherry , Sthitadhi Roy

This work introduces a novel probabilistic deep learning technique called deep Gaussian mixture ensembles (DGMEs), which enables accurate quantification of both epistemic and aleatoric uncertainty. By assuming the data generating process…

Machine Learning · Statistics 2023-06-13 Yousef El-Laham , Niccolò Dalmasso , Elizabeth Fons , Svitlana Vyetrenko

We investigate the dynamics of Entanglement Hamiltonians (EHs) in dissipative free-fermionic systems using a recent operator-based formulation of the quasiparticle picture. Focusing on gain and loss dissipation, we study the post-quench…

Statistical Mechanics · Physics 2026-02-06 Riccardo Travaglino , Federico Rottoli , Pasquale Calabrese

Efficient simulation of a quantum system generally relies on structural properties of the quantum state. Motivated by the recent results by Bakshi et al. on the sudden death of entanglement in high-temperature Gibbs states of quantum spin…

Quantum Physics · Physics 2026-01-21 Akshar Ramkumar , Yiyi Cai , Yu Tong , Jiaqing Jiang

We revisit the question of whether and how the steady states arising after non-equilibrium time evolution in integrable models (and in particular in the XXZ spin chain) can be described by the so-called Generalized Gibbs Ensemble (GGE). It…

Statistical Mechanics · Physics 2017-10-11 B. Pozsgay , E. Vernier , M. A. Werner

We study the large time dynamics of a macroscopically large quantum systems under a sudden quench. We show that, first of all, for a generic system in the thermodynamic limit the Gibbs distribution correctly captures the large time dynamics…

Statistical Mechanics · Physics 2013-02-06 Victor Gurarie

It has been recently observed for a particular quantum quench in the XXZ spin chain that local observables do not equilibrate to the predictions of the Generalized Gibbs Ensemble (GGE). In this work we argue that the breakdown of the GGE…

Statistical Mechanics · Physics 2015-06-22 B. Pozsgay

We consider a quantum quench of the trap frequency in a system of bosons interacting through an inverse-square potential and confined in a harmonic trap (the harmonic Calogero model). We determine exactly the initial state in terms of the…

Statistical Mechanics · Physics 2014-03-17 M. A. Rajabpour , S. Sotiriadis

The non-equilibrium steady states of integrable models are believed to be described by the Generalized Gibbs Ensemble (GGE), which involves all local and quasi-local conserved charges of the model. In this work we investigate integrable…

Statistical Mechanics · Physics 2020-03-04 György Z. Fehér , Balázs Pozsgay

Generalized master equations (GMEs) -- time-local but generally neither trace-preserving nor Hermiticity-preserving -- are convenient tools to compute properties of the environment of an open or continuously monitored quantum system. A…

Quantum Physics · Physics 2026-02-27 Francesco Albarelli , Marco G. Genoni

In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed from their extensive number of conserved…