Island Finder and Entropy Bound

Abstract

Identifying an entanglement island requires exquisite control over the entropy of quantum fields, which is available only in toy models. Here we present a set of sufficient conditions that guarantee the existence of an island and place an upper bound on the entropy computed by the island rule. This is enough to derive the main features of the Page curve for an evaporating black hole in any spacetime dimension. Our argument makes use of Wall's maximin formulation and the Quantum Focusing Conjecture. As a corollary, we derive a novel entropy bound.

28 pages, 9 figures

References in corpus (9)

• Islands in cosmology
• Page Curve for an Evaporating Black Hole
• Islands in Asymptotically Flat 2D Gravity
• Gravity/Ensemble Duality
• The area of horizons and the trapped region
• Effective entropy of quantum fields coupled with gravity
• Black Holes, AdS, and CFTs
• The Boundary of the Future
• Restricted Maximin surfaces and HRT in generic black hole spacetimes

Cited by in corpus (29)

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• Holographic spacetime, black holes and quantum error correcting codes: A review
• Finding Pythons in Unexpected Places
• Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands
• Free fermion entanglement with a semitransparent interface: the effect of graybody factors on entanglement islands
• Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
• Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
• Canonical Purification of Evaporating Black Holes
• Islands in Multiverse Models
• The Multiverse in an Inverted Island
• Defect extremal surfaces for entanglement negativity
• Islands in the Stream of Hawking Radiation
• Quantum Singularities
• Grey-body Factors, Irreversibility and Multiple Island Saddles
• Cosmologies, singularities and quantum extremal surfaces
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Unitarity and Page curve for evaporation of 2D AdS black holes
• Black Hole Information Recovery in JT Gravity
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• Non-extremal Island in de Sitter Gravity
• Island mirages
• On the assumptions leading to the information loss paradox
• Singularities From Entropy
• Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes