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Mixtures of bosonic and fermionic atoms in optical lattices provide apromising arena to study strongly correlated systems. In experiments realizingsuch mixtures in the quantum degenerate regime the temperature is a keyparameter. In this work, we investigate the intrinsic heating and coolingeffects due to an entropy-preserving raising of the optical lattice potential.We analyze this process, identify the generic behavior valid for a wide rangeof parameters, and discuss it quantitatively for the recent experiments with87Rb and 40K atoms. In the absence of a lattice, we treat the bosons in theHartree-Fock-Bogoliubov-Popov-approximation, including the fermions in aself-consistent mean field interaction. In the presence of the fullthree-dimensional lattice, we use a strong coupling expansion. As a result ofthe presence of the fermions, the temperature of the mixture after the latticeramp-up is always higher than for the pure bosonic case. This sheds light ontoa key point in the analysis of recent experiments.

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