Dynamics of holographic entanglement entropy following a local quench

A bstract We discuss the behaviour of holographic entanglement entropy following a local quench in 2+1 dimensional strongly coupled CFTs. The entanglement generated by the quench propagates along an emergent light-cone, reminiscent of the Lieb-Robinson light-cone propagation of correlations in non-r...

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Bibliographic Details
Published in:The journal of high energy physics 2016-04, Vol.2016 (4), p.1-27
Main Authors: Rangamani, Mukund, Rozali, Moshe, Vincart-Emard, Alexandre
Format: Article
Language:English
Subjects:
Balancing
Classical and Quantum Gravitation
Correlation
Dynamics
Elementary Particles
Entanglement
Entropy
Joining
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Tsunamis
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Summary:A bstract We discuss the behaviour of holographic entanglement entropy following a local quench in 2+1 dimensional strongly coupled CFTs. The entanglement generated by the quench propagates along an emergent light-cone, reminiscent of the Lieb-Robinson light-cone propagation of correlations in non-relativistic systems. We find the speed of propagation is bounded from below by the entanglement tsunami velocity obtained earlier for global quenches in holographic systems, and from above by the speed of light. The former is realized for sufficiently broad quenches, while the latter pertains for well localized quenches. The non-universal behavior in the intermediate regime appears to stem from finite-size effects. We also note that the entanglement entropy of subsystems reverts to the equilibrium value exponentially fast, in contrast to a much slower equilibration seen in certain spin models.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2016)069