Page Curve for Entanglement Negativity through Geometric Evaporation

Abstract

We compute the entanglement negativity for various pure and mixed state configurations in a bath coupled to an evaporating two dimensional non-extremal Jackiw-Teitelboim (JT) black hole obtained through the partial dimensional reduction of a three dimensional BTZ black hole. Our results exactly reproduce the analogues of the Page curve for the entanglement negativity which were recently determined through diagrammatic technique developed in the context of random matrix theory.

40 pages, 19 figures and 1 appendix; Published version

References in corpus (20)

• Black holes as mirrors: quantum information in random subsystems
• Entanglement negativity in quantum field theory
• JT gravity as a matrix integral
• Finite temperature entanglement negativity in conformal field theory
• Holographic BCFTs and Communicating Black Holes
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Comments on Entanglement Negativity in Holographic Field Theories
• Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
• Conformal Blocks and Negativity at Large Central Charge
• Dirichlet Baths and the Not-so-Fine-Grained Page Curve
• Defect extremal surface as the holographic counterpart of Island formula
• From the BTZ black hole to JT gravity: geometrizing the island
• Relative Entropy of Random States and Black Holes
• A JT supergravity as a double-cut matrix model
• Islands with Gravitating Baths: Towards ER = EPR
• The Page curve and baby universes
• Islands and mixed states in closed universes
• The Dictionary for Double Holography and Graviton Masses in d Dimensions
• Hayden-Preskill protocol and decoding Hawking radiation at finite temperature
• Quantum Gravity Microstates from Fredholm Determinants

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• Symmetry-resolved Page curves
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• Holographic spacetime, black holes and quantum error correcting codes: A review
• Partial islands and subregion complexity in geometric secret-sharing model
• Entanglement negativity, reflected entropy, and anomalous gravitation
• Replica Wormholes and Holographic Entanglement Negativity
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Planar Black Holes in Holographic Axion Gravity: Islands, Page Times, and Scrambling Times
• Page Curve of Effective Hawking Radiation
• Defect extremal surfaces for entanglement negativity
• End of the World Brane meets $T\bar{T}$
• Islands and dynamics at the interface
• Entropy of Radiation with Dynamical Gravity
• Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
• Holographic Reflected Entropy and Islands in Interface CFTs
• Page Curve of AdS-Vaidya Model for Evaporating Black Holes
• Entanglement Negativity and Defect Extremal Surface
• Encoded information of mixed correlations: the views from one dimension higher
• Effect of backreaction on Island, Page curve and Mutual Information
• Entanglement at the Soft-Hair Horizon