Quantum phases in a resonantly-interacting Bose-Fermi mixture

Details Quantum phases in a resonantly-interacting Bose-Fermi mixture Quantum phases in a resonantly-interacting Bose-Fermi mixture

2005-02-14

arxiv.org/abs/cond-mat/0502328v1

Phys. Rev. Lett. 94, 230404 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.94.230404

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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