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The PEE aspects of entanglement islands from bit threads

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arxiv 2203.03111 v1 pith:IWUR66FA submitted 2022-03-07 hep-th

Yi-Yu Lin , Jia-Rui Sun , Yuan Sun , Jie-Chen Jin This is my paper · ORCID
classification hep-th
keywords entanglementislandbcftfine-grainedholographicsetupaspectsblack
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the partial entanglement entropy (PEE) aspects of the holographic BCFT setup with an entanglement island, inspired by the holographic triality of the AdS/BCFT setup developed in the recent study on the black hole information problem, and the "PEE=CFF (component flow flux)" prescription, which is proposed recently to investigate the holographic PEE in the framework of bit thread formulation. Our study provides a bit thread description of the AdS/BCFT setup, which characterizes the specific entanglement details between the different parts of the system with an entanglement island, and may provide further insight into the black hole information problem. Furthermore, we show that in the context of island, one should distinguish between the fine-grained PEE and the semi-classical PEE. Interestingly, similar to the island rule of the fine-grained entropy in the semi-classical picture, we also propose the island rules of the fine-grained PEE.

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Cited by 3 Pith papers

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    Timelike entanglement first law holds in Lovelock gravity about AdS, with both entropy and modular Hamiltonian variations carrying the same coupling factor that renormalizes Newton's constant in the linearized equations.

  3. The thread embodiment of holographic quantum entanglement

    hep-th 2025-01 conditional novelty 5.0 of 10

    Holographic entanglement is represented by geodesic threads whose fluxes equal half conditional mutual information, and kinematic space is treated as the input board of a quantum circuit that reproduces holographic co...

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