Page curves and island's delays in asymptotically flat 2d spacetimes with injections

Abstract

We explore spacetimes with multiple energy injections in asymptotically flat two-dimensional black hole and analyze the entanglement entropy in such spacetimes. This work is an extension of the setup of the single-injection case, by F. F. Gautason, L. Schneiderbauer, W. Sybesma and L. Thorlacius, to include the multiple energy injections. We derive the solution of the model, by J. G. Russo, L. Susskind and L. Thorlacius, for a general number $n$ of the total injections, and discuss the entropy only for the case $n=2$. The essential point of this work is in the delay of the island. This delay makes the intermediate state necessary, where the island's endpoint lies between the 1st and the 2nd injections while the observer is located after the 2nd injection. The intermediate state makes the entanglement entropy evolve continuously across the 2nd injection time.

arXiv comment19 pages, 7 figures, minor revisions, published version

References in corpus (23)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Black Hole Entropy is Noether Charge
• A Covariant Holographic Entanglement Entropy Proposal
• Black holes as mirrors: quantum information in random subsystems
• Information in Black Hole Radiation
• Evanescent Black Holes
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• Time Dependence of Hawking Radiation Entropy
• The Endpoint of Hawking Evaporation
• Entanglement islands in higher dimensions
• Black Hole Evaporation in 1+1 Dimensions
• Islands in Schwarzschild black holes
• Page Curve for an Evaporating Black Hole
• Islands in Asymptotically Flat 2D Gravity
• Notes on islands in asymptotically flat 2d dilaton black holes
• A Self-consistent Model of the Black Hole Evaporation
• Replica wormholes for an evaporating 2D black hole
• Islands and Page curves of Reissner-Nordström black holes
• Black Hole Entropy in Two Dimensions
• Interior of Black Holes and Information Recovery
• The role of mutual information in the Page curve

Cited by in corpus (1)

• New insights on mutual information in the island approach to the Page curve