Exact coherent states of a harmonically confined Tonks-Girardeau gas

A Minguzzi, Dimitri Gangardt

Research output: Contribution to journalArticle

136 Citations (Scopus)


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 languageEnglish
Article number240404
JournalPhysical Review Letters
Issue number24
Publication statusPublished - 24 Jun 2005


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