Replica wormholes and capacity of entanglement

Abstract

We consider the capacity of entanglement as a probe of the Hawking radiation in a two-dimensional dilaton gravity coupled with conformal matter of large degrees of freedom. A formula calculating the capacity is derived using the gravitational path integral, from which we speculate that the capacity has a discontinuity at the Page time in contrast to the continuous behavior of the generalized entropy. We apply the formula to a replica wormhole solution in an eternal AdS black hole coupled to a flat non-gravitating bath and show that the capacity of entanglement is saturated by the thermal capacity of the black hole in the high temperature limit.

40 pages, 7 figures; v2: minor clarifications, references added; v3: typos corrected, a table added, published version

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• Partial islands and subregion complexity in geometric secret-sharing model
• Entanglement Island and Page Curve in Wedge Holography
• AdS/BCFT and Island for curvature-squared gravity
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Small Schwarzschild de Sitter black holes, quantum extremal surfaces and islands
• Massless Entanglement Islands in Cone Holography
• Page Curve of Effective Hawking Radiation
• Eigenstate capacity and Page curve in fermionic Gaussian states
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• Capacity of Entanglement for Non-local Hamiltonian
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• Complexity in a moving mirror model
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• Effective Action, Spectrum and First Law of Wedge Holography
• Entanglement between two evaporating black holes
• Reflected entropy in BCFTs on a black hole background
• Entropy of Radiation with Dynamical Gravity
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Wilsonian Effective Action and Entanglement Entropy
• A comment on a fine-grained description of evaporating black holes with baby universes
• Black holes Entangled by Radiation
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Binary AdS black holes coupled to a bath in Type IIB
• Evolution of capacity of entanglement and modular entropy in harmonic chains and scalar fields
• Holographic moving mirrors
• Holographic entanglement negativity for a single subsystem in conformal field theories with a conserved charge
• Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity
• Boundary mutual information in double holography
• Extended Holographic Rényi Entropy and hyperbolic black hole with scalar hair
• The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes