Island Finder and Entropy Bound

TL;DR

This paper establishes sufficient conditions for the existence of entanglement islands and derives an entropy bound, enabling analysis of the Page curve in black hole evaporation across spacetime dimensions using quantum information principles.

Contribution

It introduces new criteria for entanglement island existence and provides a universal entropy bound applicable to black hole evaporation scenarios.

Findings

Derived conditions guarantee island existence.

Established an upper bound on island entropy.

Applied results to the Page curve in various dimensions.

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.