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Cited by 369

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Entanglement Tsunami: Universal Scaling in Holographic Thermalization

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Liu, Hong, Suh, S. Josephine·2014·Physical Review Letters

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.

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Metadata

Authors
Liu, H., & Suh, S. J.
Venue
Physical Review Letters
Published
2014-01-07
Volume
112
Issue
1
Pages
011601-011601
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2161710758
Cited by
369
References
21
FWCI
18.02
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Entanglement Tsunami: Universal Scaling in Holographic Thermalization. https://app.cochat.ai/papers/10.1103/physrevlett.112.011601
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Liu, H., & Suh, S. J. (2014). Entanglement Tsunami: Universal Scaling in Holographic Thermalization. Physical Review Letters. https://doi.org/10.1103/physrevlett.112.011601

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