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Stability criterion for attractive Bose-Einstein condensates

Luc Berge·Tristram J. Alexander·Yuri S. Kivshar
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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.

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Luc Berge, Tristram J. Alexander, Yuri S. Kivshar. 1999-10-31. Stability criterion for attractive Bose-Einstein condensates. https://doi.org/10.1103/physreva.62.023607

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