Shaping contours of entanglement islands in BCFT
arXiv:2107.09083 · doi:10.1007/JHEP03(2022)033
Abstract
In this paper, we study the fine structure of entanglement in holographic two-dimensional boundary conformal field theories (BCFT) in terms of the spatially resolved quasilocal extension of entanglement entropy - entanglement contour. We find that the boundary induces discontinuities in the contour revealing hidden localization-delocalization patterns of entanglement degrees of freedom. Moreover, we observe the formation of ``islands'' where the entanglement contour vanishes identically implying that these regions do not contribute to the entanglement at all. We argue that these phenomena are the manifestation of entanglement islands discussed recently in the literature. We apply the entanglement contour proposal to the recently proposed BCFT black hole models reproducing the Page curve - moving mirror model and the pair of BCFT in the thermofield double state. From the viewpoint of entanglement contour, the Page curve also carries the imprint of strong delocalization caused by dynamical entanglement islands.
19 pages, 6 figures
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- Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
- Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
- Defect extremal surfaces for entanglement negativity
- Ownerless island and partial entanglement entropy in island phases
- AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
- Complexity in a moving mirror model
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- Entropy of Radiation with Dynamical Gravity
- Semiclassical Gravity from Averaged Boundaries in two-dimensional BCFTs
- Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
- Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
- Correlations of mixed systems in confining backgrounds
- First Law and Quantum Correction for Holographic Entanglement Contour
- Holographic BCFT Spectra from Brane Mergers
- Subsystem Complexity and Measurements in Holography