Quantum phases in a resonantly-interacting Bose-Fermi mixture

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.

4 pages, 3 figures

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Cited by in corpus (22)

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• Interaction-driven Dynamics of 40K / 87Rb Fermi-Bose Gas Mixtures in the Large Particle Number Limit
• Effective Hamiltonian for fermions in an optical lattice across Feshbach resonance
• Pairing and condensation in a resonant Bose-Fermi mixture
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• Anderson Lattice Description of Photoassociation in an Optical Lattice
• Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
• Mechanical stability of resonant Bose-Fermi mixtures
• States of fermionic atoms in an optical superlattice across a Feshbach resonance
• Composite pairing and superfluidity in a one-dimensional resonant Bose-Fermi mixture