Stability criterion for attractive Bose-Einstein condensates

Details Stability criterion for attractive Bose-Einstein condensates Stability criterion for attractive Bose-Einstein condensates

1999-07-27

arxiv.org/abs/cond-mat/9907408v2

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevA.62.023607

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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