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

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

1996-10-25

arxiv.org/abs/cond-mat/9610187v1

Physics

Condensed Matter

4 pages, no figure, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.78.1838

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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