Dynamics of a Tonks-Girardeau gas released from a hard-wall trap

摘要

We study the expansion dynamics of a Tonks-Girardeau gas released from a hardwall trap. Using the Fermi-Bose map, the density profile is found analyticallyand shown to differ from that one of a classical gas in the microcanonicalensemble even at macroscopic level, for any observation time larger than acritical time. The relevant time scale arises as a consequence offermionization.