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Time-Dependent Variational Approach to Bose-Einstein Condensation

Luca Salasnich
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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.

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BibTeXRIS

Luca Salasnich. 1999-08-10. Time-Dependent Variational Approach to Bose-Einstein Condensation. https://doi.org/10.1142/s0217979200000029

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