Anderson lattice description of photoassociation in an optical lattice

Takahiko Miyakawa, Pierre Meystre

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Article number021601
JournalPhysical Review A
Volume73
Issue number2
DOIs
StatePublished - 2006

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atoms
molecules
bosons
confining
perturbation theory
fermions
insulators
traps
harmonics
ground state

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy(all)

Cite this

Anderson lattice description of photoassociation in an optical lattice. / Miyakawa, Takahiko; Meystre, Pierre.

In: Physical Review A, Vol. 73, No. 2, 021601, 2006.

Research output: Contribution to journalArticle

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AB - 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.

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