Island finder and entropy bound
Raphael Bousso, Arvin Shahbazi-Moghaddam
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.
Topics & Concepts
CorollaryQuantum entanglementEntropy (arrow of time)Upper and lower boundsConjectureJoint quantum entropyQuantumSpacetimeMathematicsMinimaxQuantum relative entropyStatistical physicsTheoretical physicsCombinatoricsPhysicsQuantum discordQuantum mechanicsMathematical economicsMathematical analysisBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesGalaxies: Formation, Evolution, Phenomena