Generalized Mean Field Approach to a Resonant Bose-Fermi Mixture

Abstract

We formulate a generalized mean-field theory of a mixture of fermionic and bosonic atoms, in which the fermion-boson interaction can be controlled by a Feshbach resonance. The theory correctly accounts for molecular binding energies of the molecules in the two-body limit, in contrast to the most straightforward mean-field theory. Using this theory, we discuss the equilibrium properties of fermionic molecules created from atom pairs in the gas. We also address the formation of molecules when the magnetic field is ramped across the resonance, and present a simple Landau-Zener result for this process.

35 pages

References in corpus (10)

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• Ultracold heteronuclear molecules in a 3D optical lattice
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• Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
• Collisional stability of fermionic Feshbach molecules
• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
• Realization of a strongly interacting Bose-Fermi mixture from a two-component Fermi gas
• Supersolid Bose-Fermi Mixtures in Optical Lattices
• Finite temperature effects on the collapse of trapped Bose-Fermi mixtures
• Stability of fermionic Feshbach molecules in a Bose-Fermi mixture