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

TL;DR

This paper analytically investigates the expansion dynamics of a Tonks-Girardeau gas released from a hard-wall trap, revealing unique fermionization effects that distinguish it from classical gases over time.

Contribution

It provides an analytical solution for the density profile evolution of a Tonks-Girardeau gas post-release, highlighting fermionization effects at macroscopic times.

Findings

Density profile differs from classical gas predictions.

Fermionization influences dynamics beyond a critical time.

Analytical expressions for expansion dynamics are derived.

Abstract

We study the expansion dynamics of a Tonks-Girardeau gas released from a hard wall trap. Using the Fermi-Bose map, the density profile is found analytically and shown to differ from that one of a classical gas in the microcanonical ensemble even at macroscopic level, for any observation time larger than a critical time. The relevant time scale arises as a consequence of fermionization.