Dynamics of a Tonks-Girardeau gas released from a hard-wall trapA. del Campo and J. G. Muga
Departamento de Química-Física, Universidad del País Vasco Apdo. 644, Bilbao, Spain
received 1 February 2006; accepted in final form 25 April 2006
published online 17 May 2006
By using the Fermi-Bose map, we study the expansion dynamics of a Tonks-Girardeau gas released from a hard-wall trap. Exact analytical results are found for the density profile which differ from the density of a classical gas in the microcanonical ensemble for any observation time larger than a critical time associated with fermionization. Differences with the harmonic-trap case are discussed.
03.75.-b - Matter waves.
03.75.Kk - Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow.
05.30.Jp - Boson systems.
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