Time-Dependent Variational Approach to Bose-Einstein Condensation

Preprint

10 August 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9908147

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

BOSE EINSTEIN CONDENSATION
DEPENDENT VARIATIONAL
VARIATIONAL APPROACH
EINSTEIN CONDENSATE
OSCILLATIONS
BEC

All Related Versions

Version 1, 1999-08-10, ArXiv
Published version: International Journal of Modern Physics B, 14 (1), 1.

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