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Phys. Rev. A 66, 043619 (2002) [5 pages]

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

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A. Gammal1, Lauro Tomio2, and T. Frederico3
1Instituto de Física, Universidade de São Paulo, 05315-970 São Paulo, Brazil
2Instituto de Física Teórica, Universidade Estadual Paulista, 01405-900 São Paulo, Brazil
3Departamento de Física, Instituto Tecnológico da Aeronáutica, CTA, 12228-900 São José dos Campos, São Paulo, Brazil

Received 12 June 2002; published 30 October 2002

The recent Bose-Einstein condensation of ultracold atoms with attractive interactions led us to consider the possibility of probing 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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.043619
DOI:
10.1103/PhysRevA.66.043619
PACS:
03.75.Fi, 32.80.Pj, 42.65.Tg, 02.60.Jh