title: Equilibration of a Tonks-Girardeau gas following a trap release.
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.
authors.affiliation: Dipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, Italy.
authors.forename: Mario
authors.initials: M
authors.lastname: Collura
authors.affiliation: Dipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, Italy.
authors.forename: Spyros
authors.initials: S
authors.lastname: Sotiriadis
authors.affiliation: Dipartimento di Fisica dell'Università di Pisa and INFN, 56127 Pisa, Italy.
authors.forename: Pasquale
authors.initials: P
authors.lastname: Calabrese