Collective oscillations of a one-dimensional trapped Bose-Einstein gas

Year: 2002

Authors: Menotti C., Stringari S.

Autors Affiliation: Univ Trent, Dipartimento Fis, I-38050 Trento, Italy; BEC INFM, I-38050 Trento, Italy; Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, I-25121 Brescia, Italy.

Abstract: Starting from the hydrodynamic equations of superfluids, we calculate the frequencies of the collective oscillations of a harmonically trapped Bose-Einstein gas for various one-dimensional configurations at zero temperature. These include the mean-field regime described by Gross-Pitaevskii theory and the beyond-mean-field regime at small densities described by the Lieb-Liniger theory. The relevant combinations of the physical parameters governing the transition between the different regimes as well as the conditions of applicability of the hydrodynamic equations are discussed.

Journal/Review: PHYSICAL REVIEW A

Volume: 66 (4)      Pages from: 43610-1  to: 43610-6

KeyWords: Excitations; Propagation; Bosons; Sound
DOI: 10.1103/PhysRevA.66.043610

Citations: 250
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