paper

Stability criterion for attractive Bose-Einstein condensates

arXiv:cond-mat/9907408 · doi:10.1103/PhysRevA.62.023607

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.

6 pages, 3 figures, submitted to the Physical Review Revised and extended version

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