Mean-field theory of Bose-Fermi mixtures in optical lattices

Details Mean-field theory of Bose-Fermi mixtures in optical lattices Mean-field theory of Bose-Fermi mixtures in optical lattices

2003-07-25

arxiv.org/abs/cond-mat/0307635v2

Physics

Condensed Matter

Other Condensed Matter

4 pages, 2 eps figures, new section on experimental requirements and some technical details added

Scientific paper

10.1016/j.optcom.2004.03.094

We determine the phase diagram of a mixture of ultracold bosons and polarized fermions placed in an optical lattice using mean field theory. In the limit of strong atom-atom interactions, there exist quantum phases that involve pairing of fermions with one or more bosons, or bosonic holes, respectively. We obtain the analytic form of the phase boundaries separating these composite fermion phases from the bosonic superfluid coexisting with Fermi liquid. We compare the results with numerical simulations and discuss their validity and relevance for current experiments.

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