Islands in the Stream of Hawking Radiation

Abstract

We consider the island formula for the entropy of subsets of the Hawking radiation in the adiabatic limit where the evaporation is very slow. We find a simple concrete `on-shell' formula for the generalized entropy which involves the image of the island out in the stream of radiation, the `island in the stream'. The resulting recipe for the entropy allows us to calculate the quantum information properties of the radiation and verify various constraints including the Araki-Lieb inequality and strong subadditivity.

added clarifications and some minor corrections

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Cited by in corpus (11)

• Inconsistency of Islands in Theories with Long-Range Gravity
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Defect Extremal Surface for Reflected Entropy
• Partial islands and subregion complexity in geometric secret-sharing model
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Page Curve of Effective Hawking Radiation
• Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
• Grey-body Factors, Irreversibility and Multiple Island Saddles
• Black Hole Information Recovery in JT Gravity
• Page Curve from Defect Extremal Surface and Island in Higher Dimensions
• The Holographic Map of an Evaporating Black Hole