6533b7d9fe1ef96bd126b9d9

RESEARCH PRODUCT

Quantum Phases in a Resonantly Interacting Boson-Fermion Mixture

E.j. TillemaD. B. M. DickerscheidD. Van OostenH. T. C. Stoof

subject

Condensed Matter::Quantum GasesQuantum phase transitionPhysicsOptical latticeStatistical Mechanics (cond-mat.stat-mech)Hubbard modelFOS: Physical sciencesGeneral Physics and AstronomyQuantum phasesFermionAtomic physicsFeshbach resonanceCondensed Matter - Statistical MechanicsBosonPhase diagram

description

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.

https://doi.org/10.1103/physrevlett.94.230404