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Ephemeral islands, plunging quantum extremal surfaces and BCFT channels

Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo, Andrea Legramandi, Neil Talwar

Journal of High Energy Physics, Volume: 2022, Issue: 1

Swansea University Authors: Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo, Andrea Legramandi, Neil Talwar

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Abstract

We consider entanglement entropies of finite spatial intervals in Minkowski radiation baths coupled to the eternal black hole in JT gravity, and the related problem involving free fermion BCFT in the thermofield double state. We show that the non- monotonic entropy evolution in the black hole proble...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2022
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa58009
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Abstract: We consider entanglement entropies of finite spatial intervals in Minkowski radiation baths coupled to the eternal black hole in JT gravity, and the related problem involving free fermion BCFT in the thermofield double state. We show that the non- monotonic entropy evolution in the black hole problem precisely matches that of the free fermion theory in a high temperature limit, and the results have the form expected for CFTs with quasiparticle description. Both exhibit rich behaviour that involves at intermediate times, an entropy saddle with an island in the former case, and in the latter a special class of disconnected OPE channels. The quantum extremal surfaces start inside the horizon, but can emerge from and plunge back inside as time evolves, accompanied by a characteristic dip in the entropy also seen in the free fermion BCFT. Finally an entropy equilibrium is reached with a no-island saddle.
Keywords: Black Holes; Conformal Field Theory; AdS-CFT Correspondence
College: Faculty of Science and Engineering
Funders: TJH, AL and SPK acknowledge support from STFC grant ST/T000813/1. NT acknowledges the support of an STFC Studentship.
Issue: 1