Effect of interactions on harmonically confined Bose-Fermi mixtures in optical lattices

Abstract

We investigate a Bose-Fermi mixture in a three-dimensional optical lattice, trapped in a harmonic potential. Using Generalized Dynamical Mean-Field theory, which treats the Bose-Bose and Bose-Fermi interaction in a fully non-perturbative way, we show that for experimentally relevant parameters a peak in the condensate fraction close to the point of vanishing Bose-Fermi interaction is reproduced within a single band framework. We identify two physical mechanisms contributing to this effect: the spatial redistribution of particles when the interspecies interaction is changed and the reduced phase space for strong interactions, which results in a higher temperature at fixed entropy.

4 pages, 3 figures, published version

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• Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model
• The impact of spatial correlation on the tunneling dynamics of few-boson mixtures in a combined triple well and harmonic trap
• Dissipative Effects on the Superfluid to Insulator Transition in Mixed-dimensional Optical Lattices
• Interaction dependent temperature effects in Bose-Fermi mixtures in optical lattices
• One- and two-dimensional reductions of the mean-field description of degenerate Fermi gases
• Beyond mean-field study of a binary bosonic mixture in a state-dependent honeycomb lattice
• Orbital magnetism of ultracold fermionic gases in a lattice: dynamical mean-field approach
• Few-body ultracold reactions in a Bose-Fermi mixture
• Mott insulator phases of non-locally coupled bosons in bilayer optical superlattices
• Correlations and synchronization in a Bose-Fermi mixture
• Bose-Fermi-Hubbard model in the truncated Hilbert space limit
• Global and local condensate and superfluid fraction of a few hard core bosons in a cubic optical lattice plus external harmonic confinement