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

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

2011-06-05

arxiv.org/abs/1106.0904v1

Physics

Condensed Matter

Quantum Gases

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

Scientific paper

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.

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