For a Haar-random model of an evaporating black hole, the q-partite Renyi multi-entropy of the black hole plus q-1 radiation subsystems peaks at a multi-entropy time later than the Page time and does not vanish at complete evaporation.
Islands in the Stream of Hawking Radiation
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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.
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Black Hole Multi-Entropy Curves
For a Haar-random model of an evaporating black hole, the q-partite Renyi multi-entropy of the black hole plus q-1 radiation subsystems peaks at a multi-entropy time later than the Page time and does not vanish at complete evaporation.