arXiv:1303.3795 · Physical Review Letters

Equilibration of a Tonks-Girardeau Gas Following a Trap Release

Mario Collura, Spyros Sotiriadis, Pasquale Calabrese

Published Jun 14, 2013• 166 citations

Abstract

We study the nonequilibrium dynamics of a Tonks-Girardeau gas released from a parabolic trap to a circle. We present the exact analytic solution of the many body dynamics and prove that, for large times and in a properly defined thermodynamic limit, the reduced density matrix of any finite subsystem converges to a generalized Gibbs ensemble. The equilibration mechanism is expected to be the same for all one-dimensional systems.

DOI: 10.1103/physrevlett.110.245301

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