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Quantum phases in a resonantly-interacting Bose-Fermi mixture

D. B. M. Dickerscheid·D. van Oosten·E. J. Tillema·H. T. C. Stoof
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Abstract

We consider a resonantly-interacting Bose-Fermi mixture of $^{40}$K and $^{87}$Rb atoms in an optical lattice. We show that by using a red-detuned optical lattice the mixture can be accurately described by a generalized Hubbard model for $^{40}$K and $^{87}$Rb atoms, and $^{40}$K-$^{87}$Rb molecules. The microscopic parameters of this model are fully determined by the details of the optical lattice and the interspecies Feshbach resonance in the absence of the lattice. We predict a quantum phase transition to occur in this system already at low atomic filling fraction, and present the phase diagram as a function of the temperature and the applied magnetic field.

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D. B. M. Dickerscheid, D. van Oosten, E. J. Tillema, H. T. C. Stoof. 2005-02-14. Quantum phases in a resonantly-interacting Bose-Fermi mixture. https://doi.org/10.1103/physrevlett.94.230404

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