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arXiv:cond-mat/0201573 · Physics Letters A

High-momentum tail in the Tonks gas under harmonic confinement

Anna Minguzzi, Patrizia Vignolo, M. P. Tosi

Published Feb 1, 2002• 111 citations
arXivHTMLPDF
DOI
10.1016/s0375-9601(02)00042-7

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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.