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Hydrodynamic modes in a trapped Bose gas above the Bose-Einstein transition

A. Griffin·Wen-Chin Wu·S. Stringari
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Abstract

We discuss the collective modes of a trapped Bose gas in the hydrodynamic regime where atomic collisions ensure local thermal equilibrium for the distribution function. Starting from the conservation laws, in the linearized limit we derive a closed equation for the velocity fluctuations in a trapped Bose gas above the Bose-Einstein transition temperature. Explicit solutions for a parabolic trap are given. We find that the surface modes have the same dispersion relation as the one recently obtained by Stringari for the oscillations of the condensate at $T=0$ within the Thomas-Fermi approximation. Results are also given for the monopole ``breathing'' mode as well as for the $m=0$ excitations which result from the coupling of the monopole and quadrupole modes in an anisotropic parabolic well.

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A. Griffin, Wen-Chin Wu, S. Stringari. 1996-10-25. Hydrodynamic modes in a trapped Bose gas above the Bose-Einstein transition. https://doi.org/10.1103/physrevlett.78.1838

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