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Related papers: Relaxation and Pre-thermalization in an Isolated Q…

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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

Integrability in one dimension prevents quantum thermalization and gives rise to rich many-body phenomena described by generalized hydrodynamics, which have been extensively studied over the past two decades using cold atoms in optically…

It is demonstrated how a many-body system far from thermal equilibrium can exhibit universal dynamics in passing a non-thermal fixed point. As an example, the process of Bose-Einstein (BE) condensation of a dilute cold gas is considered. If…

Quantum Gases · Physics 2015-06-05 Boris Nowak , Jan Schole , Thomas Gasenzer

We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on…

Condensed Matter · Physics 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

We evaluate the relaxation rate of high-energy quasiparticles in a weakly interacting one-dimensional Bose gas. Unlike in higher dimensions, the rate is a nonmonotonic function of temperature, with a maximum at the crossover to the state of…

Quantum Gases · Physics 2010-08-27 Shina Tan , Michael Pustilnik , Leonid I. Glazman

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

Entanglement pre-thermalization (EP) is a quasi-stationary nonequilibrium state of a composite system in which each individual subsystem looks thermal but the entire system remains nonthermal due to quantum entanglement between subsystems.…

Statistical Mechanics · Physics 2017-02-24 Tatsuhiko N. Ikeda , Takashi Mori , Eriko Kaminishi , Masahito Ueda

We consider the relaxation of an initial non-equilibrium state in a one-dimensional fluid of hard rods. Since it is an interacting integrable system, we expect it to reach the Generalized Gibbs Ensemble (GGE) at long times for generic…

Statistical Mechanics · Physics 2024-06-04 Sahil Kumar Singh , Abhishek Dhar , Herbert Spohn , Anupam Kundu

We investigate the equilibration and thermalization properties of quantum systems interacting with a finite dimensional environment. By exploiting the concept of time averaged states, we introduce a completely positive map which allows to…

Quantum Physics · Physics 2012-11-27 A. Smirne , E. -M. Laine , H. -P. Breuer , J. Piilo , B. Vacchini

We establish a link between unitary relaxation dynamics after a quench in closed many-body systems and the entanglement in the energy eigenbasis. We find that even if reduced states equilibrate, they can have memory on the initial…

Quantum Physics · Physics 2011-01-25 Christian Gogolin , Markus P. Mueller , Jens Eisert

The onset of thermalization in a closed finite system of randomly interacting bosons, at the level of a single eigenstate, is discussed. The main interest is in the emergence of the Bose-Einstein distribution of single-particle occupation…

Quantum Physics · Physics 2017-05-02 Fausto Borgonovi , Francesco Mattiotti , Felix M. Izrailev

We discuss thermalization in a multimode quantum cavity under unitary evolution. According to general principles, an isolated system with quadratic couplings does not exhibit thermalization. However, we find that three-wave perturbation,…

Quantum Physics · Physics 2024-05-01 Jukka P. Pekola , Bayan Karimi

The dynamics of isolated quantum systems following a sudden quench plays a central role in many areas of material science, high-energy physics, and quantum chemistry. Featuring complex phenomena with implications for thermalization,…

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…

Quantum Physics · Physics 2015-03-20 Bruno Bellomo , Riccardo Messina , Mauro Antezza

High temperature virial expansion is a powerful tool in equilibrium statistical mechanics. In this letter we generalize the high temperature virial expansion approach to treat far-from-equilibrium quench dynamics. As an application of our…

Quantum Gases · Physics 2020-09-16 Mingyuan Sun , Peng Zhang , Hui Zhai

Thermodynamical equilibrium is considered as an effect of quantum entangling of the vacuum state of a system. An explicit mathematical model of multi- particle entangled pure quantum states is developed and analyzed. In the framework, the…

Quantum Physics · Physics 2007-05-23 A. Yu. Bogdanov , Yu. I. Bogdanov , K. A. Valiev

Motivated by the recent experimental observation of negative absolute temperature states in systems of ultracold atomic gases in optical lattices [Braun et al., Science 339, 52 (2013)], we investigate theoretically the formation of these…

Quantum Gases · Physics 2013-11-01 Stephan Mandt , Adrian E. Feiguin , Salvatore R. Manmana

Our understanding of various states of matter usually relies on the assumption of thermodynamic equilibrium. However, the transitions between different phases of matter can be strongly affected by non-equilibrium phenomena. Here we…

Quantum Gases · Physics 2013-05-03 Alexander L. Gaunt , Richard J. Fletcher , Robert P. Smith , Zoran Hadzibabic

We study the dynamics of a quantum Ising chain after the sudden introduction of a non-integrable long-range interaction. Via an exact mapping onto a fully-connected lattice of hard-core bosons, we show that a pre-thermal state emerges and…

Statistical Mechanics · Physics 2013-11-19 Matteo Marcuzzi , Jamir Marino , Andrea Gambassi , Alessandro Silva

Cosmological reheating describes the transition of the post-inflationary universe to a hot and thermal state. In order to shed light on the underlying dynamics of this process, we propose to quantum-simulate the reheating-like dynamics of a…

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