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Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap

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dc.contributor.authorNoschang Kuhn, Carlos
dc.contributor.authorGuan, Xi-Wen
dc.contributor.authorFoerster, Angela
dc.contributor.authorBatchelor, Murray
dc.date.accessioned2015-12-08T22:19:32Z
dc.date.issued2012
dc.date.updated2016-02-24T11:22:04Z
dc.description.abstractWe investigate universal thermodynamics and quantum criticality of spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions in a one-dimensional harmonic trap. From the equation of state, we find that a partially polarized core is surrounded by two wings composed of either spin-singlet pairs or a fully spin-aligned Tonks-Girardeau gas depending on the polarization. We describe how the scaling behavior of density profiles can reveal the universal nature of quantum criticality and map out the quantum phase diagram. We further show that at quantum criticality the dynamical critical exponent z=2 and correlation length exponent ν=1/2. This reveals a subtle resemblance to the physics of the spin-1/2 attractive Fermi gas.
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/1885/31599
dc.publisherAmerican Physical Society
dc.rightsAuthor/s retain copyrighten_AU
dc.sourcePhysical Review A: Atomic, Molecular and Optical Physics
dc.subjectKeywords: Antiferromagnetics; Correlation lengths; Density profile; Dynamical critical exponent; Equation of state; Fermi gas; One-dimensional harmonic trap; Quantum criticality; Quantum phase diagrams; Scaling behavior; Spin-exchange interaction; Tonks-Girardeau g
dc.titleQuantum criticality of spin-1 bosons in a one-dimensional harmonic trap
dc.typeJournal article
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.issue011605
local.bibliographicCitation.startpage4
local.contributor.affiliationNoschang Kuhn, Carlos, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationGuan, Xi-Wen, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationFoerster, Angela, Instituto de Fisica
local.contributor.affiliationBatchelor, Murray, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidNoschang Kuhn, Carlos, u5075383
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.absseo970110 - Expanding Knowledge in Technology
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
local.identifier.ariespublicationu4726473xPUB84
local.identifier.citationvolume86
local.identifier.doi10.1103/PhysRevA.86.011605
local.identifier.scopusID2-s2.0-84864226149
local.identifier.thomsonID000306467600002
local.type.statusPublished Version

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