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arXiv:cond-mat/0606471 · The European Physical Journal D

Studies of bosons in optical lattices in a harmonic potential

R. Ramakumar, A. N. Das, S. Sil

Published Feb 20, 2007• 9 citations
arXivHTMLPDF
DOI
10.1140/epjd/e2007-00035-7

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We consider atomic mixtures of bosons and two-component fermions in an optical lattice potential. We show that if the bosons are in a Mott-insulator state with precisely one atom per lattice, the photoassociation of bosonic and fermionic atoms into heteronuclear fermionic molecules is described by the Anderson lattice model. We determine the ground-state properties of an inhomogeneous version of that model in the strong atom-molecule coupling regime, including an additional harmonic trap potential. Various spatial structures arise from the interplay between the atom-molecule correlations and the confining potential. Perturbation theory with respect to the tunneling coupling between fermionic atoms shows that antiferromagnetic correlations develop around a spin-singlet core of fermionic atoms and molecules.