Entanglement Tsunami: Universal Scaling in Holographic Thermalization
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Liu-2014-Entanglement tsunami.pdf
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Author(s)
Liu, Hong
Suh, Sunok Josephine
Date Issued
January 2014
Journal
Physical Review Letters
Publisher
American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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