Gapless finite-$T$ theory of collective modes of a trapped gas

Details Gapless finite-$T$ theory of collective modes of a trapped gas Gapless finite-$T$ theory of collective modes of a trapped gas

1998-05-05

arxiv.org/abs/cond-mat/9805050v1

Physics

Condensed Matter

4 pages Latex and 2 postscript figures

Scientific paper

10.1103/PhysRevLett.81.2198

We present predictions for the frequencies of collective modes of trapped Bose-condensed $^{87}$Rb atoms at finite temperature. Our treatment includes a self-consistent treatment of the mean-field from finite-$T$ excitations and the anomolous average. This is the first gapless calculation of this type for a trapped Bose-Einstein condensed gas. The corrections quantitatively account for the downward shift in the $m=2$ excitation frequencies observed in recent experiments as the critical temperature is approached.

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