Stability criterion for attractive Bose-Einstein condensates
Condensed Matter
2009-10-31 v2
Abstract
A general stability criterion is derived for the D-dimensional ground states of the Gross-Pitaevskii equation, which describes attractive Bose-Einstein condensates confined in a magnetic trap. These ground states are shown to avoid the collapse in finite time and are proven to be stable in two and three spatial dimensions.
Cite
@article{arxiv.cond-mat/9907408,
title = {Stability criterion for attractive Bose-Einstein condensates},
author = {Luc Berge and Tristram J. Alexander and Yuri S. Kivshar},
journal= {arXiv preprint arXiv:cond-mat/9907408},
year = {2009}
}
Comments
6 pages, 3 figures, submitted to the Physical Review Revised and extended version