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Asymptotic Bethe-ansatz solution for one-dimensional SU(2) spinor bosons with finite-range Gaussian interactions

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dc.contributor.authorLee, Jen
dc.contributor.authorGuan, Xi-Wen
dc.contributor.authordel Campo, A
dc.contributor.authorBatchelor, Murray
dc.date.accessioned2015-12-10T23:07:02Z
dc.date.issued2012
dc.date.updated2016-02-24T09:35:18Z
dc.description.abstractWe propose a one-dimensional model of spinor bosons with SU(2) symmetry and a two-body finite-range Gaussian interaction potential. We show that the model is exactly solvable when the width of the interaction potential is much smaller than the interparticle separation. This model is then solved via the asymptotic Bethe-ansatz technique. The ferromagnetic ground-state energy and chemical potential are derived analytically. We also investigate the effects of a finite-range potential on the density profiles through the local-density approximation. Finite-range potentials are more likely to lead to quasi-Bose-Einstein condensation than zero-range potentials.
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/1885/62915
dc.publisherAmerican Physical Society
dc.rightsAuthor/s retain copyrighten_AU
dc.sourcePhysical Review A: Atomic, Molecular and Optical Physics
dc.subjectKeywords: Bethe ansatz solution; Density profile; Gaussian interaction; Ground-state energies; Inter-particle separation; Interaction potentials; One-dimensional model; Zero-range potentials; Bose-Einstein condensation; Chemical analysis; Statistical mechanics; Bos
dc.titleAsymptotic Bethe-ansatz solution for one-dimensional SU(2) spinor bosons with finite-range Gaussian interactions
dc.typeJournal article
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.issue1
local.bibliographicCitation.lastpage13
local.bibliographicCitation.startpage013629,1
local.contributor.affiliationLee, Jen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationGuan, Xi-Wen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationdel Campo, A, Leibniz Universiat
local.contributor.affiliationBatchelor, Murray, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidLee, Jen, u4086094
local.contributor.authoruidGuan, Xi-Wen, u4054868
local.contributor.authoruidBatchelor, Murray, u8506863
local.description.notesImported from ARIES
local.identifier.absfor020601 - Degenerate Quantum Gases and Atom Optics
local.identifier.absfor010502 - Integrable Systems (Classical and Quantum)
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationf5625xPUB750
local.identifier.citationvolume85
local.identifier.doi10.1103/PhysRevA.85.013629
local.identifier.scopusID2-s2.0-84862969417
local.identifier.thomsonID000299421400010
local.type.statusPublished Version

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