Page Curves and Bath Deformations

Abstract

We study the black hole information problem within a semiclassically gravitating AdS${}_d$ black hole coupled to and in equilibrium with a $d$-dimensional thermal conformal bath. We deform the bath state by a relevant scalar deformation, triggering a holographic RG flow whose "trans-IR" region deforms from a Schwarzschild geometry to a Kasner universe. The setup manifests two independent scales which control both the extent of coarse-graining and the entanglement dynamics when counting Hawking degrees of freedom in the bath. In tuning either, we find nontrivial changes to the Page time and Page curve. We consequently view the Page curve as a probe of the holographic RG flow, with a higher Page time manifesting as a result of increased coarse-graining of the bath degrees of freedom.

arXiv comment38 pages, 11 figures; v4: added further clarification and structure to introduction, matches version in SciPost Phys Core

References in corpus (57)

• An Alternative to Compactification
• Large N Field Theories, String Theory and Gravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A Covariant Holographic Entanglement Entropy Proposal
• AdS/CFT Correspondence and Symmetry Breaking
• Replica Wormholes and the Entropy of Hawking Radiation
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• 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 Evolution of Entanglement Entropy from Black Hole Interiors
• The entropy of Hawking radiation
• Holographic Renormalization
• On the Holographic Renormalization Group
• Locally Localized Gravity
• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• Holographic Dual of BCFT
• Aspects of AdS/BCFT
• AdS and the Swampland
• Conformal Field Theories Near a Boundary in General Dimensions
• Massive Islands
• Spacetime and the Holographic Renormalization Group
• Information Transfer with a Gravitating Bath
• Entanglement islands in higher dimensions
• Islands outside the horizon
• Information radiation in BCFT models of black holes
• Inconsistency of Islands in Theories with Long-Range Gravity
• The Holographic Renormalization Group
• Holographic BCFTs and Communicating Black Holes
• Defect Conformal Field Theory and Locally Localized Gravity
• Critical Islands
• Entanglement entropy in holographic moving mirror and Page curve
• Time Dependent Cosmologies and Their Duals
• The Holographic Nature of Null Infinity
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Islands and Page curves in 4d from Type IIB
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
• Dirichlet Baths and the Not-so-Fine-Grained Page Curve
• Diving into a holographic superconductor
• Exotic RG Flows from Holography
• Page Curve and the Information Paradox in Flat Space
• Holographic Renormalization Group
• Scalar Field Theory in the AdS/CFT Correspondence Revisited
• Holographic flows from CFT to the Kasner universe
• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• Warped Information and Entanglement Islands in AdS/WCFT
• Exotic holographic RG flows at finite temperature
• Bulk Renormalization Group Flows and Boundary States in Conformal Field Theories
• The Emergence of Localized Gravity
• Islands with Gravitating Baths: Towards ER = EPR
• A power law for the lowest eigenvalue in localized massive gravity
• Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole
• Entanglement island, miracle operators and the firewall
• Boundary Kinematic Space
• Boundary entropy under ambient RG flow in the AdS/BCFT model
• Holographic flows with scalar self-interaction toward the Kasner universe
• Holographic moving mirrors

Cited by in corpus (25)

• Inconsistency of Islands in Theories with Long-Range Gravity
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Holographic spacetime, black holes and quantum error correcting codes: A review
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Trans-IR Flows to Black Hole Singularities
• Wheeler-DeWitt states of the AdS-Schwarzschild interior
• The PEE aspects of entanglement islands from bit threads
• Information transfer with a twist
• Defect extremal surfaces for entanglement negativity
• Kasner interiors from analytic hairy black holes
• Multiverse in Karch-Randall Braneworld
• Path Integral Complexity and Kasner singularities
• Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld
• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• AdS Black Holes with a Bouncing Interior
• Shock waves, black hole interiors and holographic RG flows
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Mixmasters in Wonderland: Chaotic dynamics from Carroll limits of gravity
• Diving into a holographic multi-band superconductor
• Black holes Entangled by Radiation
• Diving inside holographic metals
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Entanglement inside a black hole before the Page time
• Page Curves and Islands in Charged Dilaton Black Holes
• Boundary mutual information in double holography