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Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction

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

Description

Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics, and criticality of one-dimensional (1D) spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We analytically derive a high-precision equation of state from which the Tomonaga-Luttinger-liquid physics and quantum critical behavior of the system are computed. We obtain explicit forms for the scaling functions near the critical points yielding the...[Show more]

dc.contributor.authorNoschang Kuhn, Carlos
dc.contributor.authorGuan, Xi-Wen
dc.contributor.authorFoerster, Angela
dc.contributor.authorBatchelor, Murray
dc.date.accessioned2015-12-10T23:02:55Z
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/1885/61957
dc.description.abstractUsing the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics, and criticality of one-dimensional (1D) spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We analytically derive a high-precision equation of state from which the Tomonaga-Luttinger-liquid physics and quantum critical behavior of the system are computed. We obtain explicit forms for the scaling functions near the critical points yielding the dynamical exponent z=2 and correlation length exponent ν=1/2 for the quantum phase transitions driven by either the chemical potential or the magnetic field. Consequently, we further demonstrate that quantum criticality of the system can be mapped out from the finite temperature density and magnetization profiles of the 1D trapped gas. Our results provide the physical origin of quantum criticality in a 1D many-body system beyond the Tomonaga-Luttinger-liquid description.
dc.publisherAmerican Physical Society
dc.rightsAuthor/s retain copyright
dc.sourcePhysical Review A: Atomic, Molecular and Optical Physics
dc.subjectKeywords: Antiferromagnetics; Correlation lengths; Critical points; Dynamical exponents; Equation of state; Explicit form; Finite temperatures; High-precision; Magnetization profile; Many-body systems; Quantum critical behavior; Quantum criticality; Quantum phase d
dc.titleUniversality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume85
dc.date.issued2012
local.identifier.absfor020502 - Lasers and Quantum Electronics
local.identifier.absfor020201 - Atomic and Molecular Physics
local.identifier.ariespublicationf5625xPUB654
local.type.statusPublished Version
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.bibliographicCitation.issue4
local.identifier.doi10.1103/PhysRevA.85.043606
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
dc.date.updated2016-02-24T09:30:03Z
local.identifier.scopusID2-s2.0-84859805744
local.identifier.thomsonID000302600200013
dcterms.accessRightsOpen Access
CollectionsANU Research Publications

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