Bose-Fermi Mixtures Near an Interspecies Feshbach Resonance: Testing a Non Equilibrium Approach

Abstract

We test a non equilibrium approach to study the behavior of a Bose-Fermi mixture of alkali atoms in the presence of a Feshbach resonance between bosons and fermions. To this end we derive the Hartree-Fock-Bogoliubov (HFB) equations of motion for, the interacting system. This approach has proven very successful in the study of resonant systems composed of Bose particles and Fermi particles. However, when applied to a Bose-Fermi mixture, the HFB theory fails to identify even the correct binding energy of molecules in the appropriate limit. Through a more rigorous analysis we are able to ascribe this difference to the peculiar role that bosonic depletion plays in the Bose-Fermi pair correlation, which is the mechanism through which molecules are formed. We therefore conclude that molecular formation in Bose-Fermi mixtures is driven by three point and higher order correlations in the gas, unlike any other resonant system studied in the context of ultra-cold atomic physics.

References in corpus (9)

• Observation of Heteronuclear Feshbach Resonances in a Bose-Fermi Mixture
• Observation of Feshbach resonances between two different atomic species
• Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
• Quantitative comparison between theoretical predictions and experimental results for the BCS-BEC crossover
• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
• Mean-field description of dynamical collapse of a fermionic condensate in a trapped boson-fermion mixture
• Dynamics of the BCS-BEC crossover in a degenerate Fermi gas
• Conventional character of the BCS-BEC cross-over in ultra-cold gases of 40K
• Finite temperature effects on the collapse of trapped Bose-Fermi mixtures

Cited by in corpus (6)

• Generalized Mean Field Approach to a Resonant Bose-Fermi Mixture
• Stability of fermionic Feshbach molecules in a Bose-Fermi mixture
• Anomalous Dimers in Quantum Mixtures near Broad Resonances: Pauli Blocking, Fermi Surface Dynamics and Implications
• Fermi-Bose Mixtures Near Broad Interspecies Feshbach Resonances
• Quasiparticle excitations in Bose-Fermi mixtures
• Non-equilibrium dynamics and atom-pair coherence in strongly interacting Bose-Fermi mixtures