Anderson lattice description of photoassociation in an optical lattice
Abstract
We consider atomic mixtures of bosons and twocomponent fermions in an optical lattice potential. We show that if the bosons are in a Mottinsulator 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 groundstate properties of an inhomogeneous version of that model in the strong atommolecule coupling regime, including an additional harmonic trap potential. Various spatial structures arise from the interplay between the atommolecule correlations and the confining potential. Perturbation theory with respect to the tunneling coupling between fermionic atoms shows that antiferromagnetic correlations develop around a spinsinglet core of fermionic atoms and molecules.
 Authors:
 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; PHOTONATOM 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 twocomponent fermions in an optical lattice potential. We show that if the bosons are in a Mottinsulator 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 groundstate properties of an inhomogeneous version of that model in the strong atommolecule coupling regime, including an additional harmonic trap potential. Various spatial structures arise from the interplay between the atommolecule correlations and the confining potential. Perturbation theory with respect to the tunneling coupling between fermionic atoms shows that antiferromagnetic correlations develop around a spinsinglet 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}
}

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