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 Mott state, connecting our findings to the recent experiment of Jördens et al. [Nature (London) 455, 204 (2008)10.1038/nature07244]. Using entropic arguments we compare two different strategies to reach the antiferromagnetic state in the presence of a trapping potential.
De Leo
Lorenzo
L
Centre de Physique Théorique, Ecole Polytechnique, CNRS, 91128 Palaiseau, France.
Kollath
Corinna
C
Georges
Antoine
A
Ferrero
Michel
M
Parcollet
Olivier
O