Phys. Rev. Lett. 101, 210403 (2008) [4 pages]Trapping and Cooling Fermionic Atoms into Mott and Néel StatesReceived 8 July 2008; revised 12 September 2008; published 21 November 2008 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 Mott state, connecting our findings to the recent experiment of Jördens et al. [ Nature (London) 455 204 (2008)]. Using entropic arguments we compare two different strategies to reach the antiferromagnetic state in the presence of a trapping potential. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.210403
DOI:
10.1103/PhysRevLett.101.210403
PACS:
67.85.−d, 03.75.Ss, 05.30.Fk, 71.10.Fd
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