Entanglement growth during thermalization in holographic systems
Name
Liu-2014-Entanglement growth during thermalization.pdf
Size
1.72 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Liu, Hong
Suh, Sunok Josephine
Date Issued
March 2014
Journal
Physical Review D
Publisher
American Physical Society
Citation
Liu, Hong, and S. Josephine Suh. “Entanglement Growth During Thermalization in Holographic Systems.” Phys. Rev. D 89, no. 6 (March 2014). © 2014 American Physical Society
Version
Final published version
Abstract
We derive in detail several universal features in the time evolution of entanglement entropy and other nonlocal observables in quenched holographic systems. The quenches are such that a spatially uniform density of energy is injected at an instant in time, exciting a strongly coupled conformal field theory which eventually equilibrates. Such quench processes are described on the gravity side by the gravitational collapse of a thin shell that results in a black hole. Various nonlocal observables have a unified description in terms of the area of extremal surfaces of different dimensions. In the large distance limit, the evolution of an extremal surface, and thus the corresponding boundary observable, is controlled by the geometry around and inside the event horizon of the black hole, allowing us to identify regimes of pre-local-equilibration quadratic growth, post-local-equilibration linear growth, a memory loss regime, and a saturation regime with behavior resembling those in phase transitions. We also discuss possible bounds on the maximal rate of entanglement growth in relativistic systems.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.89.066012
