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

2003/07/31 by H. Fehrmann, M. A. Baranov, М. А. Баранов +5
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.other

paper · pdf · doi:10.1016/j.optcom.2004.03.094

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

arxiv created 2004/04/23 · openalex publication_date 2004/11/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Phonon Spectrum and Dynamical Stability of a Dilute Quantum Degenerate Bose-Fermi Mixture
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