Dynamics of Bose condensed gases in highly deformed traps

Abstract

We provide a unified investigation of normal modes and sound propagation at zero temperature in Bose condensed gases confined in highly asymmetric harmonic traps and interacting with repulsive forces. By using hydrodynamic theory for superfluids we obtain explicit analytic results for the dispersion law of the low energy discretized modes for both cigar and disk shaped geometries, including the regime of large quantum numbers where discrete modes can be identified with phonons. The correspondence with sound propagation in cylindrical traps and the one-dimensional nature of cigar type configurations are explicitly discussed.

12 pages Revtex, no figures

References in corpus (5)

• Sound propagation in a cylindrical Bose-condensed gas
• Low-energy elementary excitations of a trapped Bose-condensed gas
• Hydrodynamic excitations of Bose condensates in anisotropic traps
• Excited states of a dilute Bose-Einstein condensate in a harmonic trap
• Damping of Hydrodynamic Modes in a Trapped Bose Gas above the Bose-Einstein Transition Temperature

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