Lectures on Quantum Extremal Surfaces and the Page Curve

TL;DR

This paper provides pedagogical insights into quantum extremal surfaces, entanglement islands, and the Page curve, elucidating black hole information paradoxes through detailed derivations and models.

Contribution

It offers a comprehensive educational overview of quantum extremal surfaces and entanglement islands, connecting theoretical concepts with recent developments in black hole information paradoxes.

Findings

Derivation of Hawking radiation via correlation functions

Analysis of entropy paradoxes in eternal black holes

Details of entanglement island computations in 2D models

Abstract

This article is a write-up of pedagogical lectures delivered at the Asia Pacific Center for Theoretical Physics online winter school held in January 2021, and also as part of the Quantum Information, Quantum Field Theory and Gravity program held at ICTS, Bengaluru, in August 2024. The topics covered include a brief derivation of Hawking radiation from the perspective of correlation functions, a description of entropy paradoxes in the eternal black hole, and details of the associated entanglement island computations in two-dimensional models.