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Time evolution of entanglement for holographic steady state formation

Time evolution of entanglement for holographic steady ...

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dc.contributor.author Erdmenger, Johanna pl
dc.contributor.author Fernández, Daniel pl
dc.contributor.author Flory, Mario [SAP14024400] pl
dc.contributor.author Megías, Eugenio pl
dc.contributor.author Straub, Ann-Kathrin pl
dc.contributor.author Witkowski, Piotr pl
dc.date.accessioned 2018-02-09T11:27:33Z
dc.date.available 2018-02-09T11:27:33Z
dc.date.issued 2017 pl
dc.identifier.issn 1126-6708 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/49956
dc.language eng pl
dc.rights Dodaję tylko opis bibliograficzny *
dc.rights.uri *
dc.title Time evolution of entanglement for holographic steady state formation pl
dc.type JournalArticle pl
dc.abstract.en 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. pl
dc.description.volume 2017 pl
dc.description.number 10 pl
dc.identifier.doi 10.1007/JHEP10(2017)034 pl
dc.identifier.eissn 1127-2236 pl
dc.identifier.eissn 1029-8479 pl
dc.title.journal The Journal of High Energy Physics pl
dc.language.container eng pl
dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego pl
dc.subtype Article pl
dc.identifier.articleid 34 pl
dc.rights.original CC-BY; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0 pl

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