Holographic Reflected Entropy: Islands and Defect Phases
arXiv:2509.06551 · doi:10.1007/JHEP12(2025)086
Abstract
We investigate the mixed state entanglement structure through the reflected entropy for disjoint radiation subsystems coupled to a 2d eternal brane world black hole in a time dependent defect AdS/BCFT scenario. Utilizing the island prescription and the defect extremal surface (DES) formula, we demonstrate a complex mixed state entanglement structure through the reflected entropy corresponding to distinct entanglement entropy phases. In each case we verify the holographic duality of the reflected entropy with the bulk entanglement wedge cross section (EWCS) and also obtain the Page curves for both the entanglement entropy and the associated reflected entropy phases. Furthermore, we extend our analysis to adjacent radiation subsystems and obtain consistent results using both the island and the DES prescription.
52 pages, 31 figures, v2: matches published version
References in corpus (46)
- A computable measure of entanglement
- Average Entropy of a Subsystem
- Eternal Black Holes in AdS
- The logarithmic negativity: A full entanglement monotone that is not convex
- Information in Black Hole Radiation
- Replica Wormholes and the Entropy of Hawking Radiation
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- The Page curve of Hawking radiation from semiclassical geometry
- The entropy of Hawking radiation
- Holographic Dual of BCFT
- Aspects of AdS/BCFT
- Universality of Long-Distance AdS Physics from the CFT Bootstrap
- Time Dependence of Hawking Radiation Entropy
- Holographic Entanglement of Purification
- Massive Islands
- Information Transfer with a Gravitating Bath
- Entanglement islands in higher dimensions
- Information radiation in BCFT models of black holes
- Inconsistency of Islands in Theories with Long-Range Gravity
- Entanglement of purification: from spin chains to holography
- Entanglement Wedge Cross Section from the Dual Density Matrix
- Codimension two holography for wedges
- Holographic BCFTs and Communicating Black Holes
- BCFT entanglement entropy at large central charge and the black hole interior
- Islands for Reflected Entropy
- Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
- Entanglement Wedge Cross Sections Require Tripartite Entanglement
- BCFT and Islands in Two Dimensions
- Entanglement of Purification for Multipartite States and its Holographic Dual
- Reflected Entropy for an Evaporating Black Hole
- Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
- Higher-point conformal blocks and entanglement entropy in heavy states
- Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
- Defect extremal surface as the holographic counterpart of Island formula
- Balanced Partial Entanglement and the Entanglement Wedge Cross Section
- An Exact Construction of Codimension two Holography
- Generalizations of Reflected Entropy and the Holographic Dual
- Multipartite Reflected Entropy
- Brane Dynamics of Holographic BCFTs
- Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
- Entanglement wedge cross-section in shock wave geometries
- Reflected entropy in BCFTs on a black hole background
- Chern-Simons Gravity Dual of BCFT
- Bridging Boundaries: , Double Holography, and Reflected Entropy
- Entanglement Negativity and Defect Extremal Surface