Finite temperature excitations of an inhomogneous trapped Bose gas with Feshbach resonances
X. X. Yi, D. L. Zhou, C. P. Sun, W. M. Zheng
Abstract
We derive and discuss the temperature dependance of the condensate and noncondensate density profile of a Bose-Einstein condensate gas with Feshbach resonance in a parabolic trap. These quantities are calculated self-consistently using the generalized Hartree-Fock-Bogoliubov (HFB) equations within the Bogoliubov approximation. At zero temperature, the HFB equation can be solved by means of a variation method that give the low excitation spectrum. Moreover, within the two-body collision theory, we estimate the relationship between the atom number and the external magnetic field B, it is in good agreement with the data in recent experiments.
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