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dc.contributor.authorPrice, Tom
dc.contributor.authorKovrizhin, Dmitry L
dc.contributor.authorLamacraft, Austen
dc.date.accessioned2017-11-20T12:46:08Z
dc.date.available2017-11-20T12:46:08Z
dc.date.issued2017
dc.identifier.issn2542-4653
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/269423
dc.description.abstractWe show that exact time dependent single particle Green function in the Imambekov–Glazman theory of nonlinear Luttinger liquids can be written, for any value of the Luttinger parameter, in terms of a particular solution of the Painlevé IV equation. Our expression for the Green function has a form analogous to the celebrated Tracy–Widom result connecting the Airy kernel with Painlevé II. The asymptotic power law of the exact solution as a function of a single scaling variable x/pt agrees with the mobile impurity results. The full shape of the Green function in the thermodynamic limit is recovered with arbitrary precision via a simple numerical integration of a nonlinear ODE.
dc.publisherStichting SciPost
dc.rightsAttribution 4.0 International (CC BY)
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleNonlinear Luttinger liquid: exact result for the Green function in terms of the fourth Painleve transcendent
dc.typeArticle
prism.issueIdentifier1
prism.numberUNSP 005
prism.publicationNameSCIPOST PHYSICS
prism.volume2
dc.identifier.doi10.17863/CAM.15646
dcterms.dateAccepted2017-02-13
rioxxterms.versionofrecord10.21468/SciPostPhys.2.1.005
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2017-02-13
dc.contributor.orcidLamacraft, Austen [0000-0002-0707-0488]
dc.identifier.eissn2542-4653
dc.publisher.urlhttp://dx.doi.org/10.21468/SciPostPhys.2.1.005
rioxxterms.typeJournal Article/Review
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/M007928/1)
cam.issuedOnline2017-02-21
cam.orpheus.successWed Apr 01 08:15:31 BST 2020 - The item has an open VoR version.
rioxxterms.freetoread.startdate2100-01-01


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Attribution 4.0 International (CC BY)
Except where otherwise noted, this item's licence is described as Attribution 4.0 International (CC BY)