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Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices

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dc.contributorVirginia Techen
dc.contributor.authorDe Leo, Lorenzoen
dc.contributor.authorBernier, Jean-Sebastienen
dc.contributor.authorKollath, Corinnaen
dc.contributor.authorGeorges, Antoineen
dc.contributor.authorScarola, Vito W.en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-18en
dc.date.accessioned2014-01-03T16:01:24Zen
dc.date.available2014-01-03T16:01:24Zen
dc.date.issued2011-02-10en
dc.description.abstractWe present a comprehensive study of the thermodynamic properties of the three-dimensional fermionic Hubbard model, with application to cold fermionic atoms subject to an optical lattice and a trapping potential. Our study is focused on the temperature range of current experimental interest. We employ two theoretical methods-dynamical mean-field theory and high-temperature series-and perform comparative benchmarks to delimit their respective range of validity. Special attention is devoted to understand the implications that thermodynamic properties of this system have on cooling. Considering the distribution function of local occupancies in the inhomogeneous lattice, we show that, under adiabatic evolution, the variation of any observable (e. g., temperature) can be conveniently disentangled into two distinct contributions. The first contribution is due to the redistribution of atoms in the trap during the evolution, while the second one comes from the intrinsic change of the observable. Finally, we provide a simplified picture of a recently proposed cooling procedure, based on spatial entropy separation, by applying this method to an idealized model.en
dc.description.sponsorshipAgence Nationale de la Rechercheen
dc.description.sponsorshipDARPA-OLEen
dc.description.sponsorship"Triangle de la Physique"en
dc.description.sponsorshipFonds Quebecois de Recherche sur la Nature et les Technologiesen
dc.identifier.citationDe Leo, Lorenzo ; Bernier, Jean-Sebastien ; Kollath, Corinna ; et al., Feb 10, 2011. “Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices,” PHYSICAL REVIEW A 83(2): 023606. DOI: 10.1103/PhysRevA.83.023606en
dc.identifier.doihttps://doi.org/10.1103/PhysRevA.83.023606en
dc.identifier.issn1050-2947en
dc.identifier.urihttp://hdl.handle.net/10919/24780en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevA.83.023606en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectcondensateen
dc.subjectstrong correlation limiten
dc.subjectmean-field theoryen
dc.subjectinfinite dimensionsen
dc.subjectmott insulatoren
dc.subjectfermionsen
dc.titleThermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical latticesen
dc.title.serialPhysical Review Aen
dc.typeArticle - Refereeden

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