Trapping and cooling fermionic atoms into Mott and Néel states

Authors :: Michel Ferrero
Antoine Georges
Corinna Kollath
Olivier Parcollet
Lorenzo De Leo
Centre de Physique Théorique [Palaiseau] (CPHT)
Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)
Centre National de la Recherche Scientifique (CNRS)
Institut de Physique Théorique - UMR CNRS 3681 (IPHT)
Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)
École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Source :: Physical Review Letters, Physical Review Letters, American Physical Society, 2008, 101 (21), ⟨10.1103/PhysRevLett.101.210403⟩, Physical Review Letters, 2008, 101 (21), ⟨10.1103/PhysRevLett.101.210403⟩
Publication Year :: 2008
Abstract: 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 J\"ordens et al. Using entropic arguments we compare two different strategies to reach the antiferromagnetic state in the presence of a trapping potential.<br />Comment: 4 pages, 4 figures. Published version