Critical numbers of attractive Bose-condensed atoms in asymmetric traps

Details Critical numbers of attractive Bose-condensed atoms in asymmetric traps Critical numbers of attractive Bose-condensed atoms in asymmetric traps

2002-09-06

arxiv.org/abs/cond-mat/0209177v1

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 3 figures. To appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.66.043619

The recent Bose-Einstein condensation of ultracold atoms with attractive interactions led us to consider the novel possibility to probe the stability of its ground state in arbitrary three-dimensional harmonic traps. We performed a quantitative analysis of the critical number of atoms through a full numerical solution of the mean field Gross-Pitaevskii equation. Characteristic limits are obtained for reductions from three to two and one dimensions, in perfect cylindrical symmetries as well as in deformed ones.

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