K-Rb Fermi-Bose mixtures: vortical states and sag

Details K-Rb Fermi-Bose mixtures: vortical states and sag K-Rb Fermi-Bose mixtures: vortical states and sag

2004-07-23

arxiv.org/abs/cond-mat/0407621v1

Physics

Condensed Matter

Soft Condensed Matter

Submitted to Phys. Rev. A (on May 2004), 15 pages with 3 figures

Scientific paper

10.1103/PhysRevA.70.043630

We study a confined mixture of bosons and fermions in the quantal degeneracy regime with attractive boson-fermion interaction. We discuss the effect that the presence of vortical states and the displacement of the trapping potentials may have on mixtures near collapse, and investigate the phase stability diagram of the K-Rb mixture in the mean field approximation supposing in one case that the trapping potentials felt by bosons and fermions are shifted from each other, as it happens in the presence of a gravitational sag, and in another case, assuming that the Bose condensate sustains a vortex state. In both cases, we have obtained an analytical expression for the fermion effective potential when the Bose condensate is in the Thomas-Fermi regime, that can be used to determine the maxima of the fermionic density. We have numerically checked that the values one obtains for the location of these maxima using the analytical formulas remain valid up to the critical boson and fermion numbers, above which the mixture collapses.

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