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Time evolution of entanglement for holographic steady state formation
Please always quote using this URN: urn:nbn:de:bvb:20-opus-173798
- 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 calculateWithin 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.…
Author: | Johanna Erdmenger, Daniel Fernández, Mario Flory, Eugenio Megías, Ann-Kathrin Straub, Piotr Witkowski |
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URN: | urn:nbn:de:bvb:20-opus-173798 |
Document Type: | Journal article |
Faculties: | Fakultät für Physik und Astronomie / Institut für Theoretische Physik und Astrophysik |
Language: | English |
Parent Title (English): | Journal of High Energy Physics |
Year of Completion: | 2017 |
Volume: | 2017 |
Issue: | 10 |
Article Number: | 034 |
Source: | Journal of High Energy Physics (2017) 10:034. https://doi.org/10.1007/JHEP10(2017)034 |
DOI: | https://doi.org/10.1007/JHEP10(2017)034 |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Tag: | AdS-CFT Correspondence; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT); Physics |
Release Date: | 2022/03/24 |
EU-Project number / Contract (GA) number: | PIEF-GA-2013-623006 |
OpenAIRE: | OpenAIRE |
Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |