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Exactly solvable models and ultracold Fermi gases

Batchelor, Murray; Foerster, Angela; Guan, Xi-Wen; Noschang Kuhn, Carlos

Description

Exactly solvable models of ultracold Fermi gases are reviewed via their thermodynamic Bethe ansatz solution. Analytical and numerical results are obtained for the thermodynamics and ground state properties of two-and three-component one-dimensional attractive fermions with population imbalance. New results for the universal finite temperature corrections are given for the two-component model. For the three-component model, numerical solution of the dressed energy equations confirms that the...[Show more]

dc.contributor.authorBatchelor, Murray
dc.contributor.authorFoerster, Angela
dc.contributor.authorGuan, Xi-Wen
dc.contributor.authorNoschang Kuhn, Carlos
dc.date.accessioned2015-12-07T22:47:31Z
dc.identifier.issn1742-5468
dc.identifier.urihttp://hdl.handle.net/1885/26100
dc.description.abstractExactly solvable models of ultracold Fermi gases are reviewed via their thermodynamic Bethe ansatz solution. Analytical and numerical results are obtained for the thermodynamics and ground state properties of two-and three-component one-dimensional attractive fermions with population imbalance. New results for the universal finite temperature corrections are given for the two-component model. For the three-component model, numerical solution of the dressed energy equations confirms that the analytical expressions for the critical fields and the resulting phase diagrams at zero temperature are highly accurate in the strong coupling regime. The results provide a precise description of the quantum phases and universal thermodynamics which are applicable to experiments with cold fermionic atoms confined to one-dimensional tubes.
dc.publisherInstitute of Physics Publishing
dc.sourceJournal of Statistical Mechanics: Theory and Experiment
dc.subjectKeywords: Phase diagrams (theory); Quantum integrability (bethe ansatz); Solvable lattice models; Thermodynamic Bethe ansatz
dc.titleExactly solvable models and ultracold Fermi gases
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume2010
dc.date.issued2010
local.identifier.absfor030605 - Solution Chemistry
local.identifier.ariespublicationu4726473xPUB42
local.identifier.ariespublicationU3488905xPUB2986
local.type.statusPublished Version
local.contributor.affiliationBatchelor, Murray, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationFoerster, Angela, Instituto de Fisica
local.contributor.affiliationGuan, Xi-Wen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationNoschang Kuhn, Carlos, Instituto de Fisica
local.description.embargo2037-12-31
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage16
local.identifier.doi10.1088/1742-5468/2010/12/P12014
dc.date.updated2016-02-24T11:21:34Z
local.identifier.scopusID2-s2.0-78650412046
local.identifier.thomsonID000285583500018
CollectionsANU Research Publications

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