We consider the non-equilibrium dynamics of a gas of impenetrable bosons released from a harmonic trapping potential to a circle. The many-body dynamics is solved analytically and the time dependence of all the physically relevant correlations is described. We prove that, for large times and in the thermodynamic limit, the reduced density matrix of any subsystem converges to a generalized Gibbs ensemble as a consequence of the integrability of the model. We discuss the approach to stationary behavior at late times. We also describe the time dependence of the entanglement entropy which attains a very simple form in the stationary state.

Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap / Collura, Mario; Sotiriadis, Spyridon; Calabrese, Pasquale. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2013:9(2013), pp. 1-54. [10.1088/1742-5468/2013/09/P09025]

Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap

COLLURA, Mario;Sotiriadis, Spyridon;Calabrese, Pasquale
2013-01-01

Abstract

We consider the non-equilibrium dynamics of a gas of impenetrable bosons released from a harmonic trapping potential to a circle. The many-body dynamics is solved analytically and the time dependence of all the physically relevant correlations is described. We prove that, for large times and in the thermodynamic limit, the reduced density matrix of any subsystem converges to a generalized Gibbs ensemble as a consequence of the integrability of the model. We discuss the approach to stationary behavior at late times. We also describe the time dependence of the entanglement entropy which attains a very simple form in the stationary state.
2013
2013
9
1
54
P09025
https://arxiv.org/abs/1306.5604
Collura, Mario; Sotiriadis, Spyridon; Calabrese, Pasquale
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/17086
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