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.
Original language | English |
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Article number | 240404 |
Journal | Physical Review Letters |
Volume | 94 |
Issue number | 24 |
DOIs | |
Publication status | Published - 24 Jun 2005 |