Time-Dependent Variational Approach to Bose-Einstein Condensation
Statistical Mechanics
2009-10-31 v1 Soft Condensed Matter
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.
Cite
@article{arxiv.cond-mat/9908147,
title = {Time-Dependent Variational Approach to Bose-Einstein Condensation},
author = {Luca Salasnich},
journal= {arXiv preprint arXiv:cond-mat/9908147},
year = {2009}
}
Comments
16 pages, no figures, submitted to Int. J. Mod. Phys. B