Collective oscillations of a 1D trapped Bose gas

Abstract

Starting from the hydrodynamic equations of superfluids, we calculate the frequencies of the collective oscillations of a harmonically trapped Bose gas for various 1D configurations. These include the mean field regime described by Gross-Pitaevskii theory and the beyond mean field regime at small densities described by Lieb-Liniger theory. The relevant combinations of the physical parameters governing the transition between the different regimes are discussed.

4 pages, 2 figures

References in corpus (1)

• Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates

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