Equilibration of a Tonks-Girardeau Gas Following a Trap Release
Mario ColluraDipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, ItalySpyros SotiriadisDipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, ItalyPasquale CalabreseDipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, Italy
2013en
ABI
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.
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Cited by 30 references