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arXiv · cond-mat/0209177

Critical numbers of attractive Bose-condensed atoms in asymmetric traps

A. Gammal·L. Tomio·T. Frederico
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Abstract

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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A. Gammal, L. Tomio, T. Frederico. 2002-09-06. Critical numbers of attractive Bose-condensed atoms in asymmetric traps. https://doi.org/10.1103/physreva.66.043619

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