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.

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

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Cited by in corpus (25)

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• 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