Mean-field instability of trapped dilute boson-fermion mixtures

Details Mean-field instability of trapped dilute boson-fermion mixtures Mean-field instability of trapped dilute boson-fermion mixtures

2001-08-30

arxiv.org/abs/cond-mat/0108524v1

Phys. Rev. A 65 (2002) 021603(R)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures (using RevTeX4)

Scientific paper

10.1103/PhysRevA.65.021603

The influence of boson-boson and boson-fermion interactions on the stability of a binary mixture of bosonic and fermionic atoms is investigated. The density profiles of the trapped mixture are obtained from direct numerical solution of a modified Gross-Pitaevskii equation that is self-consistently coupled to the mean-field generated by the interaction with the fermionic species. The fermions which in turn feel the mean-field created by the bosons are treated in Thomas-Fermi approximation. We study the effects of different combinations of signs of the boson-boson and the boson-fermion scattering lengths and determine explicit expressions for critical particle numbers as function of these scattering lengths.

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