Exact Coherent States of a Harmonically Confined Tonks-Girardeau Gas
- 22 June 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 94 (24), 240404
- https://doi.org/10.1103/physrevlett.94.240404
Abstract
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.Keywords
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