TIME-DEPENDENT VARIATIONAL APPROACH TO BOSE–EINSTEIN CONDENSATION
- 10 January 2000
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics B
- Vol. 14 (1) , 1-11
- https://doi.org/10.1142/s0217979200000029
Abstract
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.Keywords
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