Variational approach for the two-dimensional trapped Bose Einstein condensate
Other Condensed Matter
2009-11-10 v2
Abstract
We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering perturbative results in the ultra-dilute limit, while back action of non-condensate particles on the condensate part is taken into account for higher density. As an application, we derive the equation of state and solve stability problems encountered in similar mean-field formalisms for a single vortex configuration.
Cite
@article{arxiv.cond-mat/0309212,
title = {Variational approach for the two-dimensional trapped Bose Einstein condensate},
author = {Ludovic Pricoupenko},
journal= {arXiv preprint arXiv:cond-mat/0309212},
year = {2009}
}