Phys. Rev. Lett. 94, 240404 (2005) [4 pages]Exact Coherent States of a Harmonically Confined Tonks-Girardeau GasReceived 8 April 2005; published 22 June 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.240404
DOI:
10.1103/PhysRevLett.94.240404
PACS:
05.30.Jp, 03.65.Db, 03.75.−b
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