Local quenches, bulk entanglement entropy and a unitary Page curve

Abstract

Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We consider a one-particle excited state of a massive scalar field infalling in a pure AdS${}_3$ geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT${}_2$, the state is given by the insertion of a local primary operator and its evolution thereafter. We calculate the area and bulk entanglement entropy corrections at order $\mathcal{O}(N^0)$, both in AdS and its CFT dual. The two calculations match, thus providing a non-trivial check of the FLM formula in a dynamical setting. Further, we observe that the bulk entanglement entropy follows a Page curve. We explain the precise sense in which our setup can be interpreted as a simple model of black hole evaporation and comment on the implications for the information problem.

52 pages + 2 appendices. Multiple figures. v2: new title, significantly improved introduction and minor changes in the text. v3: extended discussion on interpretation. Version to appear in JHEP

References in corpus (22)

• Towards a derivation of holographic entanglement entropy
• Replica Wormholes and the Entropy of Hawking Radiation
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• The Page curve of Hawking radiation from semiclassical geometry
• Holography from Conformal Field Theory
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Entanglement entropy of two disjoint intervals in conformal field theory II
• Holographic Evolution of Entanglement Entropy
• Thermodynamical Property of Entanglement Entropy for Excited States
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Evolution of entanglement after a local quench
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Quantum Dimension as Entanglement Entropy in 2D CFTs
• Quantum Entanglement of Localized Excited States at Finite Temperature
• Entanglement of Local Operators in large N CFTs
• Notes on Quantum Entanglement of Local Operators
• Aspects of the UV/IR correspondence : energy broadening and string fluctuations
• Relative entropy of excited states in conformal field theories of arbitrary dimensions
• On holographic thermalization and gravitational collapse of massless scalar fields
• Thermalization after holographic bilocal quench
• Bulk entanglement entropy for photons and gravitons in AdS${}_3$
• Holographic constraints on Bjorken hydrodynamics at finite coupling

Cited by in corpus (19)

• Entanglement entropy in holographic moving mirror and Page curve
• Reflected Entropy for an Evaporating Black Hole
• Probing Hawking radiation through capacity of entanglement
• Replica wormholes and capacity of entanglement
• The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
• Bit threads, Einstein's equations and bulk locality
• Page Curve of Effective Hawking Radiation
• Defect extremal surfaces for entanglement negativity
• A Renyi Quantum Null Energy Condition: Proof for Free Field Theories
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Quantum bit threads and holographic entanglement
• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• The first law of differential entropy and holographic complexity
• Radiation, entanglement and islands from a boundary local quench
• From locality to irregularity: Introducing local quenches in massive scalar field theory
• A falling magnetic monopole as a holographic local quench
• Mutual information from modular flow in CFTs
• Entanglement entropy of local gravitational quenches
• Bulk entanglement and its shape dependence