Exact Coherent States of a Harmonically Confined Tonks-Girardeau Gas

Journal Article · Fri Jun 24 00:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.94.240404· OSTI ID:20696392

Minguzzi, A; Gangardt, D M ^[1]

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1. Laboratoire de Physique Theorique et Modeles Statistiques, Universite Paris-Sud, Bat. 100, F-91405 Orsay (France)

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.

• OSTI ID: 20696392
• Journal Information: Physical Review Letters, Vol. 94, Issue 24; Other Information: DOI: 10.1103/PhysRevLett.94.240404; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
BOSONS
DAMPING
EIGENSTATES
FERMI GAS
FERMIONS
ONE-DIMENSIONAL CALCULATIONS
OSCILLATIONS
SPATIAL DISTRIBUTION
TRANSFORMATIONS
TRAPS
VARIATIONS