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Trapping and Cooling Fermionic Atoms into Mott and Néel States

Trapping and Cooling Fermionic Atoms into Mott and Néel States

We perform a theoretical study of a fermionic gas with two hyperfine states confined to an optical lattice. We derive a generic state diagram as a function of interaction strength, particle number, and confining potential. We discuss the central density, the double occupancy, and their derivatives as probes for the …