Abstract
We study entanglement dynamics in toy models of black hole information built out of chaotic many-body quantum systems, by utilising a coarse-grained description of entanglement dynamics in such systems known as the ‘entanglement membrane’. We show that in these models the Page curve associated to the entropy of Hawking radiation arises from a transition in the entanglement membrane around the Page time, in an analogous manner to the change in quantum extremal surfaces that leads to the Page curve in semi-classical gravity. We also use the entanglement membrane prescription to study the Hayden-Preskill protocol, and demonstrate how information initially encoded in the black hole is rapidly transferred to the radiation around the Page time. Our results relate recent developments in black hole information to generic features of entanglement dynamics in chaotic many-body quantum systems.
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Acknowledgments
We are grateful to Hong Liu, Márk Mezei, Adam Nahum, Shreya Vardhan and Curt von Keyserlingk for very helpful discussions. AT acknowledges support from UK EPSRC (EP/SO23607/1). MB acknowledges support from UK Research and Innovation (UKRI) under the UK government’s Horizon Europe guarantee (EP/Y00468X/1).
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Blake, M., Thompson, A.P. The Page curve from the entanglement membrane. J. High Energ. Phys. 2023, 16 (2023). https://doi.org/10.1007/JHEP11(2023)016
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DOI: https://doi.org/10.1007/JHEP11(2023)016