Finite temperature hydrodynamic modes of trapped quantum gases

Physics – Condensed Matter

Scientific paper

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26 pages, Latex

Scientific paper

10.1103/PhysRevA.64.013619

The hydrodynamic equations of an ideal fluid formed by a dilute quantum gas in a parabolic trapping potential are studied analytically and numerically. Due to the appearance of internal modes in the fluid stratified by the trapping potential, the spectrum of low-lying modes is found to be dense in the high-temperature limit, with an infinitely degenerate set of zero-frequency modes. The spectrum for Bose-fluids and Fermi-fluids is obtained and discussed.

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