2005/04/30 by A. Minguzzi, D. M. Gangardt · 4 citations
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.94.240404
published as Phys. Rev. Lett 94, 240404 (2005) · 4 pages, 2 figures, published version
arxiv created 2005/06/27 · arxiv updated 2009/12/01
Using a scaling transformation we exactly determine the dynamics of an harmonically confined Tonks-Girardeau gas under arbitrary time variations of the trap frequency. We show how during a one-dimensional expansion a ``dynamical fermionization'' occurs as the momentum distribution rapidly approaches an ideal Fermi gas distribution, and that under a sudden change of the trap frequency the gas undergoes undamped breathing oscillations displaying alternating bosonic and fermionic character in momentum space. The absence of damping in the oscillations is a peculiarity of the truly Tonks regime.