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) |