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Membrane theory of entanglement dynamics from holography

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arxiv 1803.10244 v2 pith:QYBJQW5F submitted 2018-03-27 hep-th cond-mat.str-el

Márk Mezei This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords membranedynamicsentanglementresultstheoryarxivchaoticholographic
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Recently, a minimal membrane description of the entanglement dynamics of large regions in generic chaotic systems was conjectured in arXiv:1803.00089. Analytic results in random circuits and spin chain numerics support this theory. We show that the results found by the author in arXiv:1612.00082 about the dynamics of entanglement entropy in theories with a holographic dual can be reformulated in terms of the same minimal membrane, providing strong evidence that the membrane theory describes all chaotic systems. We discuss the implications of our results for tensor network approaches to holography and the holographic renormalization group.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Minimax surfaces and the holographic entropy cone

    hep-th 2025-02 conditional novelty 7.0 of 10

    Stable minimax surfaces are shown to be HRT surfaces, the entanglement wedge is the smallest minimax homology region, and a cooperating time-sheet configuration would prove the equality of RT and HRT entropy cones.

  2. The entanglement membrane in 2d CFT: reflected entropy, RG flow, and information velocity

    hep-th 2024-11 conditional novelty 7.0 of 10

    A generalized entanglement membrane with an extra bulk-depth degree of freedom correctly captures reflected entropy in 2d CFT, and a relevant deformation restores the ordinary non-degenerate membrane tension.

  3. Islands, Double Holography, and the Entanglement Membrane

    hep-th 2024-12 conditional novelty 6.0 of 10

    A double-holographic Page curve is realized as an entanglement membrane with a vertical growing segment before the Page time and two saturated butterfly-velocity lines exiting through a boundary after it.

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