Time-Dependent Variational Approach to Bose-Einstein Condensation

Details Time-Dependent Variational Approach to Bose-Einstein Condensation Time-Dependent Variational Approach to Bose-Einstein Condensation

1999-08-10

arxiv.org/abs/cond-mat/9908147v1

Int. J. Mod. Phys. B 14, 1-11 (2000)

Physics

Condensed Matter

Statistical Mechanics

16 pages, no figures, submitted to Int. J. Mod. Phys. B

Scientific paper

10.1142/S0217979200000029

We discuss the mean-field approximation for a trapped weakly-interacting Bose-Einstein condensate (BEC) and its connection with the exact many-body problem by deriving the Gross-Pitaevskii action of the condensate. The mechanics of the BEC in a harmonic potential is studied by using a variational approach with time-dependent Gaussian trial wave-functions. In particular, we analyze the static configurations, the stability and the collective oscillations for both ground-state and vortices.

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