Equilibration of a Tonks-Girardeau gas following a trap release
Quantum Gases
2018-08-28 v2 Statistical Mechanics
Quantum Physics
Abstract
We study the non-equilibrium 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.
Keywords
Cite
@article{arxiv.1303.3795,
title = {Equilibration of a Tonks-Girardeau gas following a trap release},
author = {Mario Collura and Spyros Sotiriadis and Pasquale Calabrese},
journal= {arXiv preprint arXiv:1303.3795},
year = {2018}
}
Comments
5+3 pages, 4+1 figures, v2 includes supplementary materials