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Entanglement Negativity and Defect Extremal Surface

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arxiv 2206.05951 v4 pith:24Y4B7DQ submitted 2022-06-13 hep-th cond-mat.str-elgr-qc

Yilu Shao , Ma-Ke Yuan , Yang Zhou This is my paper · ORCID
classification hep-thcond-mat.str-elgr-qc
keywords negativitydefectformulablackentanglementextremalsurfacehole
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abstract

We study entanglement negativity for evaporating black hole based on the holographic model with defect brane. We introduce a defect extremal surface formula for entanglement negativity. Based on partial reduction, we show the equivalence between defect extremal surface formula and island formula for entanglement negativity in AdS$_3$/BCFT$_2$. Extending the study to the model of eternal black hole plus CFT bath, we find that black hole-black hole negativity decreases until vanishing, left black hole-left radiation negativity is always a constant, radiation-radiation negativity increases and then saturates at a time later than Page time. In all the time dependent cases, defect extremal surface formula agrees with island formula.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Defects extremal surfaces and interface CFTs

    hep-th 2026-07 conditional novelty 4.0 of 10

    A generalized defect-extremal-surface prescription for AdS3/ICFT2 is shown to match island-formula entropies in the large-tension limit and to produce Page curves for 2d eternal black holes.

  2. Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity

    hep-th 2025-01 conditional novelty 4.0 of 10

    In JT gravity toy models, late-time modular entropy and capacity of entanglement scale inversely with n times the inverse temperature, supporting a thermal reading of the replica parameter.

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