Phys. Rev. A 62, 023607 (2000) [6 pages]Stability criterion for attractive Bose-Einstein condensatesReceived 26 October 1999; published 18 July 2000 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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.62.023607
DOI:
10.1103/PhysRevA.62.023607
PACS:
03.75.Fi, 03.65.Ge, 05.30.Jp, 47.20.Ky
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