Do mixtures of bosonic and fermionic atoms adiabatically heat up in optical lattices?

Abstract

Mixtures of bosonic and fermionic atoms in optical lattices provide a promising arena to study strongly correlated systems. In experiments realizing such mixtures in the quantum degenerate regime the temperature is a key parameter. In this work, we investigate the intrinsic heating and cooling effects due to an entropy-preserving raising of the optical lattice potential. We analyze this process, identify the generic behavior valid for a wide range of parameters, and discuss it quantitatively for the recent experiments with 87Rb and 40K atoms. In the absence of a lattice, we treat the bosons in the Hartree-Fock-Bogoliubov-Popov-approximation, including the fermions in a self-consistent mean field interaction. In the presence of the full three-dimensional lattice, we use a strong coupling expansion. As a result of the presence of the fermions, the temperature of the mixture after the lattice ramp-up is always higher than for the pure bosonic case. This sheds light onto a key point in the analysis of recent experiments.

5 pages, 3 figures

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Cited by in corpus (15)

• Non-standard Hubbard models in optical lattices: a review
• Cooling in strongly correlated optical lattices: prospects and challenges
• Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
• Self-Trapping of Bosons and Fermions in Optical Lattices
• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
• Effect of interactions on harmonically confined Bose-Fermi mixtures in optical lattices
• Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model
• Boson Hubbard model with weakly coupled Fermions
• Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
• Adiabatic Loading of Cold Bosons in Three-Dimensional Optical Lattices and Superfluid-Normal Phase Transition
• Heteronuclear quantum gas mixtures
• Adiabatic cooling of a tunable Bose-Fermi mixture in an optical lattice
• Cooling ultracold bosons in optical lattices by spectral transform
• Statistical mechanics of a Feshbach coupled Bose-Fermi gas in an optical lattice
• Heating and Cooling in Adiabatic Mixing process