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dc.contributor.authorChesler, Paul Men
dc.contributor.authorGarcía-García, Antonio Men
dc.contributor.authorLiu, Hongen
dc.date.accessioned2015-10-13T11:57:33Z
dc.date.available2015-10-13T11:57:33Z
dc.date.issued2015-05-14en
dc.identifier.citationChesler et al. Physical Review X, Vol. 5, 021015. doi: 10.1103/PhysRevX.5.021015en
dc.identifier.issn2160-3308
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/251419
dc.description.abstractWe study the dynamic after a smooth quench across a continuous transition from the disordered phase to the ordered phase. Based on scaling ideas, linear response, and the spectrum of unstable modes, we develop a theoretical framework, valid for any second-order phase transition, for the early-time evolution of the condensate in the broken phase. Our analysis unveils a novel period of nonadiabatic evolution after the system passes through the phase transition, where a parametrically large amount of coarsening occurs before a well-defined condensate forms. Our formalism predicts a rate of defect formation parametrically smaller than the Kibble-Zurek prediction and yields a criterion for the breakdown of Kibble-Zurek scaling for sufficiently fast quenches. We numerically test our formalism for a thermal quench in a (2+1)-dimensional holographic superfluid. These findings, of direct relevance in a broad range of fields including cold atom, condensed matter, statistical mechanics, and cosmology, are an important step toward a more quantitative understanding of dynamical phase transitions.
dc.description.sponsorshipWe thank Laurence Yaffe for useful discussions. The work of P. M. C. is supported by the Fundamental Laws Initiative of the Center for the Fundamental Laws of Nature at Harvard University. The work of H. L. is partially supported by the U.S. Department of Energy (DOE) under Cooperative Research Agreement No. DE-FG0205ER41360. A. M. G.-G. was supported by Engineering and Physical Sciences Research Council, Grant No. EP/I004637/1; Fundação para a Ciência e a Tecnologia, Grant No. PTDC/FIS/111348/2009; and a Marie Curie International Reintegration Grant No. PIRG07-GA-2010-268172.
dc.languageEnglishen
dc.language.isoenen
dc.publisherAPS
dc.rightsAttribution 2.0 UK: England & Wales*
dc.rights.urihttp://creativecommons.org/licenses/by/2.0/uk/*
dc.titleDefect Formation beyond Kibble-Zurek Mechanism and Holographyen
dc.typeArticle
dc.description.versionThis is the final version of the article. It first appeared from APS via http://dx.doi.org/10.1103/PhysRevX.5.021015en
prism.number021015en
prism.publicationDate2015en
prism.publicationNamePhysical Review Xen
prism.volume5en
dc.rioxxterms.funderEPSRC
dc.rioxxterms.projectidEP/I004637/1
rioxxterms.versionofrecord10.1103/PhysRevX.5.021015en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2015-05-14en
dc.identifier.eissn2160-3308
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/I004637/1)


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Attribution 2.0 UK: England & Wales
Except where otherwise noted, this item's licence is described as Attribution 2.0 UK: England & Wales