Entanglement Entropy in a Holographic Moving Mirror and the Page Curve

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 the 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.

Automated summary

In this study, the time evolution of entanglement entropy in a two-dimensional conformal field theory with a moving mirror was calculated using holography. It was found that in a setup modeling Hawking radiation, entanglement entropy exhibits linear growth, which can be interpreted as the production of entangled pairs, while in a setup mimicking black hole formation and evaporation, the evolution follows the ideal Page curve. The gravity dual of the moving mirror model constructed via holography provides a concrete model to derive the Page curve for black hole radiation in the strong coupling regime of gravity.