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Entanglement Tsunami: Universal Scaling in Holographic Thermalization

Author(s)
Liu, Hong; Suh, Sunok Josephine
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Abstract
We consider the time evolution of entanglement entropy after a global quench in a strongly coupled holographic system, whose subsequent equilibration is described in the gravity dual by the gravitational collapse of a thin shell of matter resulting in a black hole. In the limit of large regions of entanglement, the evolution of entanglement entropy is controlled by the geometry around and inside the event horizon of the black hole, resulting in regimes of pre-local-equilibration quadratic growth (in time), post-local-equilibration linear growth, a late-time regime in which the evolution does not carry memory of the size and shape of the entangled region, and a saturation regime with critical behavior resembling those in continuous phase transitions. Collectively, these regimes suggest a picture of entanglement growth in which an “entanglement tsunami” carries entanglement inward from the boundary. We also make a conjecture on the maximal rate of entanglement growth in relativistic systems.
Date issued
2014-01
URI
http://hdl.handle.net/1721.1/85079
Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Journal
Physical Review Letters
Publisher
American Physical Society
ISSN
1079-7114
0031-9007

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