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Time evolution of entanglement for holographic steady state formation

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dc.contributor Háskóli Íslands
dc.contributor University of Iceland
dc.contributor.author Erdmenger, Johanna
dc.contributor.author Fernández, Daniel
dc.contributor.author Flory, Mario
dc.contributor.author Megías, Eugenio
dc.contributor.author Straub, Ann-Kathrin
dc.contributor.author Witkowski, Piotr
dc.date.accessioned 2018-01-26T16:00:45Z
dc.date.available 2018-01-26T16:00:45Z
dc.date.issued 2017-10
dc.identifier.citation Erdmenger, J., Fernández, D., Flory, M., Megías, E., Straub, A.-K., & Witkowski, P. (2017). Time evolution of entanglement for holographic steady state formation. Journal of High Energy Physics, 2017(10), 34. doi:10.1007/jhep10(2017)034
dc.identifier.issn 1126-6708
dc.identifier.issn 1029-8479 (eISSN)
dc.identifier.uri https://hdl.handle.net/20.500.11815/542
dc.description.abstract Within gauge/gravity duality, we consider the local quench-like time evolution obtained by joining two 1+1-dimensional heat baths at different temperatures at time t = 0. A steady state forms and expands in space. For the 2+1-dimensional gravity dual, we find that the “shockwaves” expanding the steady-state region are of spacelike nature in the bulk despite being null at the boundary. However, they do not transport information. Moreover, by adapting the time-dependent Hubeny-Rangamani-Takayanagi prescription, we holographically calculate the entanglement entropy and also the mutual information for different entangling regions. For general temperatures, we find that the entanglement entropy increase rate satisfies the same bound as in the ‘entanglement tsunami’ setups. For small temperatures of the two baths, we derive an analytical formula for the time dependence of the entanglement entropy. This replaces the entanglement tsunami-like behaviour seen for high temperatures. Finally, we check that strong subadditivity holds in this time-dependent system, as well as further more general entanglement inequalities for five or more regions recently derived for the static case.
dc.description.sponsorship The work of EM is supported by Spanish MINECO under Grant FPA2015-64041-C2-1-P, by the Basque Government under Grant IT979-16, and by the Spanish Consolider Ingenio 2010 Programme CPAN (CSD2007-00042). The research of EM is also supported by the European Union under a Marie Curie Intra-European Fellowship (FP7-PEOPLE-2013-IEF) with project number PIEF-GA-2013-623006, and by the Universidad del Pa´ıs Vasco UPV/EHU, Bilbao, Spain, as a Visiting Professor. MF was supported by NCN grant 2012/06/A/ST2/00396. DF was supported by an Alexander von Humboldt Foundation fellowship. PW would like to thank the Faculty of Physics of Jagiellonian University in Cracow, where large parts of this work were done, for its hospitality.
dc.format.extent 34
dc.language.iso en
dc.publisher Springer Nature
dc.relation info:eu-repo/grantAgreement/EC/FP7/PIEF-GA-2013-623006
dc.relation.ispartofseries Journal of High Energy Physics;2017(10)
dc.rights info:eu-repo/semantics/openAccess
dc.subject AdS-CFT correspondence
dc.subject Gauge-gravity correspondence
dc.subject Holography and condensed matter physics (AdS/CMT)
dc.subject Þéttefnisfræði
dc.subject Eðlisfræði
dc.subject Þyngdarafl
dc.title Time evolution of entanglement for holographic steady state formation
dc.type info:eu-repo/semantics/article
dcterms.license This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
dc.description.version Peer Reviewed
dc.identifier.journal Journal of High Energy Physics
dc.identifier.doi 10.1007/JHEP10(2017)034
dc.relation.url http://link.springer.com/content/pdf/10.1007/JHEP10(2017)034.pdf
dc.contributor.department Raunvísindastofnun (HÍ)
dc.contributor.department Science Institute (UI)
dc.contributor.school Verkfræði- og náttúruvísindasvið (HÍ)
dc.contributor.school School of Engineering and Natural Sciences (UI)

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