Entanglement Entropy in a Holographic Moving Mirror and the Page Curve
Ibrahim Akal, Yuya Kusuki, Noburo Shiba, Tadashi Takayanagi, Zixia Wei
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 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.
Topics & Concepts
Quantum entanglementHolographyPhysicsEntropy (arrow of time)Statistical physicsTheoretical physicsQuantum mechanicsQuantumBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesModel Reduction and Neural Networks