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We use quantum quenches to study the dynamics and thermalization of hardcore bosons in finite one-dimensional lattices. We perform exact diagonalizations and find that, far away from integrability, few-body observables thermalize. We then…

Statistical Mechanics · Physics 2009-09-02 Marcos Rigol

When a generic quantum system is prepared in a simple initial condition, it typically equilibrates toward a state that can be described by a thermal ensemble. A known exception are localized systems which are non-ergodic and do not…

Quantum Physics · Physics 2023-11-17 Henrik Wilming , Tobias J. Osborne , Kevin S. C. Decker , Christoph Karrasch

The investigation of thermalization in isolated quantum many-body systems has a long history, dating back to the time of developing statistical mechanics. Most quantum many-body systems in nature are considered to thermalize, while some…

Statistical Mechanics · Physics 2021-08-25 Naoto Shiraishi , Keiji Matsumoto

Understanding the realization of thermal equilibrium through the thermalization process in a many-body system is a fundamental and complex scientific question, bridging thermodynamics and classical dynamics and connecting to a host of…

Statistical Mechanics · Physics 2026-04-07 Zhenwei Yao

Within the framework of relativistic quantum field theory, a novel method is established which allows to distinguish non-equilibrium states admitting locally a thermodynamic interpretation. The basic idea is to compare these states with…

High Energy Physics - Phenomenology · Physics 2015-06-25 Detlev Buchholz , Izumi Ojima , Hansjoerg Roos

This colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. We particularly focus on quantum quenches: the temporal evolution following a sudden or…

Statistical Mechanics · Physics 2011-09-29 Anatoli Polkovnikov , Krishnendu Sengupta , Alessandro Silva , Mukund Vengalattore

Using holographic duality, we investigate thermalization process when two finite-size quantum critical systems are brought into thermal contact along a perfectly transmitting interface. Through real-time simulations of gravitational…

High Energy Physics - Theory · Physics 2025-09-09 Li Li , Yan Liu , Hao-Tian Sun

The nonzero ground-state energy of the quantum mechanical harmonic oscillator implies quantum fluctuations around the minimum of the potential with the mean square value proportional to Planck's constant. In classical mechanics thermal…

Quantum Physics · Physics 2020-09-02 K. Schönhammer

The entanglement at finite temperatures are analyzed by using thermal models for colored quarks making up the hadron physical states. We have found that these quantum correlations entirely vanish at $T_c\geq m_q/\ln(1.5)$. For temperatures…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Hamieh , A. Tawfik

We provide necessary and sufficient conditions for freezing of quantum correlations as measured by quantum discord and quantum work deficit in the case of bipartite as well as multipartite states subjected to local noisy channels. We…

Quantum Physics · Physics 2015-09-11 Titas Chanda , Amit Kumar Pal , Anindya Biswas , Aditi Sen De , Ujjwal Sen

We investigate steady states of macroscopic quantum systems under dissipation not obeying the detailed balance condition. We argue that the Gibbs state at an effective temperature gives a good description of the steady state provided that…

Statistical Mechanics · Physics 2020-04-17 Tatsuhiko Shirai , Takashi Mori

It is known that temperature estimates of macroscopic systems in equilibrium are most precise when their energy fluctuations are large. However, for nanoscale systems deviations from standard thermodynamics arise due to their interactions…

Quantum Physics · Physics 2018-06-14 Harry J. D. Miller , Janet Anders

We consider quantum systems consisting of a ``small'' system coupled to two reservoirs (called open systems). We show that such a system has no equilibrium states normal with respect to any state of the decoupled system in which the…

Mathematical Physics · Physics 2007-05-23 M. Merkli , M. Mück , I. M. Sigal

We show how the local temperature of out-of-equilibrium, quantum electron systems can be consistently defined with the help of an external voltage and temperature probe. We determine sufficient conditions under which the temperature…

Statistical Mechanics · Physics 2015-06-16 J. Meair , J. P. Bergfield , C. A. Stafford , Ph. Jacquod

Quantum-classical transitions have long attracted much attention. We study such transitions in quantum spin-($j$,1/2) systems at thermal equilibrium. Unlike the previous work [Phys. Rev. A 73, 064302 (2006)], it is found that the threshold…

Quantum Physics · Physics 2025-10-15 M. A. Yurischev , E. I. Kuznetsova , Saeed Haddadi

We study the cluster properties of thermal equilibrium states in theories with a maximal propagation velocity (such as relativistic QFT). Our analysis, carried out in the setting of algebraic quantum field theory, shows that there is a…

High Energy Physics - Theory · Physics 2007-05-23 Christian Jaekel

The response of a quantum system in a pure state to an external force is investigated by reconsidering the standard statistical approach to quantum dynamics on the light of the statistical description of equilibrium based on typicality. We…

Statistical Mechanics · Physics 2011-04-26 Barbara Fresch , Giorgio J. Moro

The locality of correlation functions is considered for Fermi systems at non-zero temperature. We show that for all short-range, lattice Hamiltonians, the correlation function of any two fermionic operators decays exponentially with a…

Materials Science · Physics 2009-11-10 M. B. Hastings

An exact stochastic model for the thermalisation of quantum states is proposed. The model has various physically appealing properties. The dynamics are characterised by an underlying Schrodinger evolution, together with a nonlinear term…

Quantum Physics · Physics 2009-10-30 D. C. Brody , L. P. Hughston

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