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Effects of temperature upon the collapse of a Bose-Einstein condensate in a gas with attractive interactions

1999/06/22 by Matthew J. Davis, M. J. Davis, D. A. W. Hutchinson +1 · 2 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum, superfluid, helium dynamics #cond-mat

paper · pdf · doi:10.1088/0953-4075/32/15/327

4 pages LaTeX, 3 eps figures. To appear as a letter in J. Phys. B

arxiv created 1999/06/22 · openalex publication_date 1999/08/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We present a study of the effects of temperature upon the excitation frequencies of a Bose-Einstein condensate formed within a dilute gas with a weak attractive, effective interaction between the atoms. We use the self-consistent Hartree-Fock Bogoliubov treatment within the Popov approximation, and we compare our results to previous zero-temperature and Hartree-Fock calculations. The metastability of the condensate is monitored by means of the l = 0 excitation frequency. As the number of atoms in the condensate is increased, with T held constant, this frequency goes to zero, signalling a phase transition to a dense collapsed state. The critical number for collapse is found to decrease as a function of temperature, the rate of decrease being greater than that obtained in previous Hartree-Fock calculations.

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