Thermodynamics of a trapped Bose condensate with negative scattering length

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dc.creatorPozzi, B.
dc.creatorSalasnich, L.
dc.creatorParola, A.
dc.creatorReatto, L.
dc.date1999-11-09
dc.date.accessioned2026-07-07T03:15:02Z
dc.date.available2026-07-07T03:15:02Z
dc.descriptionWe 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 $N<N_c$ the condensate is always metastable but for $N>N_c$ the condensate is metastable only for temperatures that exceed a critical value $T_c$.
dc.descriptionRevTex, 7 postscript figures, to be published in Journal of Low Temperature Phsyics
dc.identifierhttps://arxiv.org/abs/cond-mat/9911134
dc.identifierhttp://arxiv.org/abs/cond-mat/9911134
dc.identifierJ. Low Temp. Phys. 119 (2000) 57-77
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29901
dc.subjectCondensed Matter
dc.titleThermodynamics of a trapped Bose condensate with negative scattering length
dc.typetext

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