Stability criterion for attractive Bose-Einstein condensates
Luc Berge, Tristram J. Alexander, Yuri S. Kivshar
TL;DR
This paper derives a stability criterion for attractive Bose-Einstein condensates in magnetic traps, demonstrating that ground states in two and three dimensions are stable and avoid collapse.
Contribution
It introduces a general stability criterion for the D-dimensional Gross-Pitaevskii equation applicable to attractive Bose-Einstein condensates.
Findings
Ground states avoid collapse in finite time
Proven stability in 2D and 3D
Applicable to magnetic trap confinement
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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