Physics – Condensed Matter
Scientific paper
1999-11-09
J. Low Temp. Phys. 119 (2000) 57-77
Physics
Condensed Matter
RevTex, 7 postscript figures, to be published in Journal of Low Temperature Phsyics
Scientific paper
We study the Bose-Einstein condensation (BEC) for a system of $^7Li$ atoms, which have negative scattering length (attractive interaction), confined in a harmonic potential. Within the Bogoliubov and Popov approximations, we numerically calculate the density profile for both condensate and non-condensate fractions and the spectrum of elementary excitations. In particular, we analyze the temperature and number-of-boson dependence of these quantities and evaluate the BEC transition temperature $T_{BEC}$. We calculate the loss rate for inelastic two- and three-body collisions. We find that the total loss rate is strongly dependent on the density profile of the condensate, but this density profile does not appreciably change by increasing the thermal fraction. Moreover, we study, using the quasi-classical Popov approximation, the temperature dependence of the critical number $N_c$ of condensed bosons, for which there is the collapse of the condensate. There are different regimes as a function of the total number $N$ of atoms. For $N
Parola Alberto
Pozzi B.
Reatto Luciano
Salasnich Luca
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