Entanglement entropy in holographic moving mirror and Page curve

TL;DR

This paper uses holography to analyze entanglement entropy in a 2D conformal field theory with a moving mirror, modeling Hawking radiation and black hole evaporation, and reproduces the Page curve.

Contribution

It introduces a holographic model for moving mirrors that captures entanglement dynamics and reproduces the Page curve in black hole evaporation scenarios.

Findings

Linear entanglement growth models Hawking radiation.

Reproduction of the Page curve in a holographic setup.

Provides a strong coupling regime analysis of black hole radiation.

Abstract

We calculate the time evolution of entanglement entropy in two dimensional conformal field theory with a moving mirror. For a setup modeling Hawking radiation, we obtain a linear growth of entanglement entropy and show that this can be interpreted as the production of entangled pairs. For a setup, which mimics black hole formation and evaporation, we find that the evolution follows the ideal Page curve. We perform these computations by constructing the gravity dual of the moving mirror model via holography. We also argue that our holographic setup provides a concrete model to derive the Page curve for black hole radiation in the strong coupling regime of gravity.