Sound propagation in a cylindrical Bose-condensed gas

Abstract

We study the normal modes of a cylindrical Bose condensate at $T=0$ using the linearized time-dependent Gross-Pitaevskii equation in the Thomas-Fermi limit. These modes are relevant to the recent observation of pulse propagation in long, cigar-shaped traps. We find that pulses generated in a cylindrical condensate propagate with little spread at a speed $c=\sqrt{g\bar{n}/m}$, where $\bar{n}$ is the average density of the condensate over its cross-sectional area.

4 pages, 2 Postscript figures

References in corpus (1)

• Hydrodynamic excitations of Bose condensates in anisotropic traps

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