Islands, Double Holography, and the Entanglement Membrane

• URL: http://arxiv.org/abs/2412.15070v1
• Date: Thu, 19 Dec 2024 17:21:18 GMT
• Title: Islands, Double Holography, and the Entanglement Membrane
• Authors: Hanzhi Jiang, Mike Blake, Anthony P. Thompson,
• Abstract summary: The quantum extremal island rule allows us to compute the Page curves of Hawking radiation in semi-classical gravity.<n>We study the connection between these calculations and the thermalisation of chaotic quantum many-body systems.
• Score: 0.3186130813218338
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The quantum extremal island rule allows us to compute the Page curves of Hawking radiation in semi-classical gravity. In this work, we study the connection between these calculations and the thermalisation of chaotic quantum many-body systems, using a coarse-grained description of entanglement dynamics known as the entanglement membrane. Starting from a double-holographic model of eternal two-sided asymptotically AdS$_d$ ($d>2$) black hole each coupled to a flat $d$-dimensional bath, we show that the entanglement dynamics in the late-time, large-subregion limit is described by entanglement membrane, thereby establishing a quantitative equivalence between a semi-classical gravity and a chaotic quantum many-body system calculation of the Page curve.

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