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We apply the framework of non-equilibrium quantum thermodynamics to the physics of quenched small-sized bosonic quantum gases in a one-dimensional harmonic trap. We show that dynamical orthogonality can occur in these few-body systems with…

We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

Quantum Gases · Physics 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

In this Letter we pose the question of whether a many-body quantum system with a full set of conserved quantities can relax to an equilibrium state, and, if it can, what the properties of such state are. We confirm the relaxation hypothesis…

Other Condensed Matter · Physics 2017-09-11 Marcos Rigol , Vanja Dunjko , Vladimir Yurovsky , Maxim Olshanii

The dynamic and static critical behaviors of driven and equilibrium lattice gas models are studied in two spatial dimensions. We show that in the short-time regime immediately following a critical quench, the dynamics of the transverse…

Statistical Mechanics · Physics 2017-12-06 Valerio Volpati , Urna Basu , Sergio Caracciolo , Andrea Gambassi

We study a quantum quench of the mass and the interaction in the Sinh-Gordon model starting from a large initial mass and zero initial coupling. Our focus is on the determination of the expansion of the initial state in terms of post-quench…

Statistical Mechanics · Physics 2014-10-07 Spyros Sotiriadis , Gabor Takacs , Giuseppe Mussardo

We study analytically and numerically the non-equilibrium dynamics of an isolated interacting many-body quantum system following a random quench. We model the system Hamiltonian by Embedded Gaussian Orthogonal Ensemble (EGOE) of random…

Quantum Physics · Physics 2021-11-18 Manan Vyas

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

By analysing the sensitivity to a twist in the boundary conditions of the stationary state attained by a many-body system long after a quantum quench, we extend the concepts of the helicity modulus and the stiffness to non-equilibrium…

Statistical Mechanics · Physics 2014-07-25 Davide Rossini , Rosario Fazio , Vittorio Giovannetti , Alessandro Silva

We develop a generic method to compute the dynamics induced by quenches in completely connected quantum systems. These models are expected to provide a mean-field description at least of the short time dynamics of finite dimensional system.…

Quantum Gases · Physics 2014-05-13 Bruno Sciolla , Giulio Biroli

We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the survival…

Statistical Mechanics · Physics 2018-03-07 E. J. Torres-Herrera , Antonio M. García-García , Lea F. Santos

When a quantum many-body system undergoes a quench, the time-averaged density-matrix $\rho$ governs the time-averaged expectation value of any observable. It is therefore the key object to look at when comparing results with equilibrium…

Strongly Correlated Electrons · Physics 2009-03-01 Guillaume Roux

We explore the dynamics of a resonant Bose gas following its quench to a strongly interacting regime near a Feshbach resonance. For such deep quenches, we utilize a self-consistent dynamic field approximation and find that after an initial…

Quantum Gases · Physics 2016-04-04 Xiao Yin , Leo Radzihovsky

We address the physics of equilibration in ultracold atomic gases following a quench of the interaction parameter. We focus on the momentum distribution of the excitations, $n_{\mathbf k}$, and observe that larger ${\mathbf k}$ modes will…

Quantum Gases · Physics 2014-09-18 A. Rancon , K. Levin

We theoretically investigate the non-equilibrium dynamics in a quenched pair of 1D Bose gases with density imbalance. We describe the system using its low-energy effective theory, the Luttinger liquid model. In this framework the system…

Quantum Gases · Physics 2018-02-28 Tim Langen , Thomas Schweigler , Eugene Demler , Jörg Schmiedmayer

Statistical equilibrium configurations are important in the physics of macroscopic systems with a large number of constituent degrees of freedom. They are expected to be crucial also in discrete quantum gravity, where dynamical spacetime…

General Relativity and Quantum Cosmology · Physics 2021-09-14 Isha Kotecha

Coherently splitting a one-dimensional Bose gas provides an attractive, experimentally estab- lished platform to investigate many-body quantum dynamics. At short enough times, the dynamics is dominated by the dephasing of single…

Quantum Gases · Physics 2018-04-17 Sebastian Huber , Michael Buchhold , Jörg Schmiedmayer , Sebastian Diehl

This article reviews the recent developments in the theory of generalised hydrodynamics (GHD) with emphasis on the repulsive one-dimensional Bose gas. We discuss the implications of GHD on the mechanisms of thermalisation in integrable…

Quantum Gases · Physics 2023-10-20 M. L. Kerr , K. V. Kheruntsyan

We study some aspects of equilibrium and off equilibrium quantum dynamics of dilute bosonic gases in the presence of a trapping potential. We consider systems with a fixed number of particles N and study their scaling behavior with…

Quantum Gases · Physics 2015-03-17 Massimo Campostrini , Ettore Vicari

We outline a kinetic theory of non-thermal fixed points for the example of a dilute Bose gas, partially reviewing results obtained earlier, thereby extending, complementing, generalizing and straightening them out. We study universal…

Quantum Gases · Physics 2019-05-16 Isara Chantesana , Asier Piñeiro Orioli , Thomas Gasenzer

We consider the asymptotic state after a sudden quench of the magnetic field in the transverse field quantum Ising chain starting from excited states of the pre-quench Hamiltonian. We compute the thermodynamic entropies of the generalised…

Statistical Mechanics · Physics 2014-09-05 Márton Kormos , Leda Bucciantini , Pasquale Calabrese