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arXiv:cond-mat/9907408 · Physical Review A

Stability criterion for attractive Bose-Einstein condensates

Luc Bergé, Tristram J. Alexander, Yuri S. Kivshar

Published Jul 18, 2000• 50 citations
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Abstract

A general stability criterion is derived for the 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.
DOI
10.1103/physreva.62.023607

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