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

M J Davis-+, D A W Hutchinson-+ and E Zaremba++

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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.


PACS

03.75.Hh Static properties of condensates; thermodynamical, statistical and structural properties

31.15.xr Self-consistent-field methods

Subjects

Atomic and molecular physics

Quantum gases, liquids and solids

Computational physics

Dates

Issue 15 (14 August 1999)

Received 28 June 1999



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