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Time evolution of entanglement for holographic steady state formation

Time evolution of entanglement for holographic steady state formation


Titill: Time evolution of entanglement for holographic steady state formation
Höfundur: Erdmenger, Johanna
Fernández, Daniel
Flory, Mario
Megías, Eugenio
Straub, Ann-Kathrin
Witkowski, Piotr
Útgáfa: 2017-10
Tungumál: Enska
Umfang: 34
Háskóli/Stofnun: Háskóli Íslands
University of Iceland
Svið: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Deild: Raunvísindastofnun (HÍ)
Science Institute (UI)
Birtist í: Journal of High Energy Physics;2017(10)
ISSN: 1126-6708
1029-8479 (eISSN)
DOI: 10.1007/JHEP10(2017)034
Efnisorð: AdS-CFT correspondence; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); Þéttefnisfræði; Eðlisfræði; Þyngdarafl
URI: https://hdl.handle.net/20.500.11815/542

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Tilvitnun:

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

Útdráttur:

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.

Leyfi:

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.

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