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Title: Anderson lattice description of photoassociation in an optical lattice

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.

Authors:
;  [1]
  1. Department of Physics, University of Arizona, Tucson, Arizona 85721 (United States)
Publication Date:
OSTI Identifier:
20974502
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.021601; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ANTIFERROMAGNETISM; ATOMS; BOSONS; CORRELATIONS; COUPLING; FERMIONS; GROUND STATES; MOLECULES; PERTURBATION THEORY; PHOTON-ATOM COLLISIONS; SIMULATION; SPIN; TRAPS; TUNNEL EFFECT

Citation Formats

Miyakawa, Takahiko, and Meystre, Pierre. Anderson lattice description of photoassociation in an optical lattice. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.021601.
Miyakawa, Takahiko, & Meystre, Pierre. Anderson lattice description of photoassociation in an optical lattice. United States. doi:10.1103/PHYSREVA.73.021601.
Miyakawa, Takahiko, and Meystre, Pierre. Wed . "Anderson lattice description of photoassociation in an optical lattice". United States. doi:10.1103/PHYSREVA.73.021601.
@article{osti_20974502,
title = {Anderson lattice description of photoassociation in an optical lattice},
author = {Miyakawa, Takahiko and Meystre, Pierre},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.73.021601},
journal = {Physical Review. A},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}