Physics – Condensed Matter
Scientific paper
1999-06-22
Physics
Condensed Matter
4 pages LaTeX, 3 eps figures. To appear as a letter in J. Phys. B
Scientific paper
10.1088/0953-4075/32/15/327
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 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.
Davis Mark J.
Hutchinson David A. W.
Zaremba E.
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