Fermions in 3D Optical Lattices: Cooling Protocol to Obtain Antiferromagnetism

Abstract

A major challenge in realizing antiferromagnetic (AF) and superfluid phases in optical lattices is the ability to cool fermions. We determine the equation of state for the 3D repulsive Fermi-Hubbard model as a function of the chemical potential, temperature and repulsion using unbiased determinantal quantum Monte Carlo methods, and we then use the local density approximation to model a harmonic trap. We show that increasing repulsion leads to cooling, but only in a trap, due to the redistribution of entropy from the center to the metallic wings. Thus, even when the average entropy per particle is larger than that required for antiferromagnetism in the homogeneous system, the trap enables the formation of an AF Mott phase.

4 pages; 5 figures; also see supplementary material in 2 pages with 1 figure

References in corpus (5)

• Fermi-Hubbard physics with atoms in an optical lattice
• Local quantum criticality in confined fermions on optical lattices
• Thermodynamics of the 3D Hubbard model on approach to the Neel transition
• Interaction-Induced Adiabatic Cooling for Antiferromagnetism in Optical Lattices
• Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices

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