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Reflected entropy and entanglement negativity for holographic moving mirrors

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Observations of Hawking radiation: the Page curve and baby universes

Donald Marolf et al.

Summary: This work offers insights into black hole information by emphasizing operationally-defined entropy, Lorentz-signature descriptions, and asymptotically flat spacetimes. Through the use of replica wormholes, it is shown that experiments of asymptotic observers support black holes as unitary quantum systems with density of states given by the Bekenstein-Hawking formula. However, this introduces superselection sectors associated with the state of baby universes. The study of spacetimes by Polchinski and Strominger in 1994 provides a simple illustration of these concepts and techniques.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

A canonical purification for the entanglement wedge cross-section

Souvik Dutta et al.

Summary: In the context of AdS/CFT, we examine the properties of reflected minimal surfaces and introduce a novel replica trick in CFTs for studying the reflected entropy, establishing a new understanding of entanglement entropy and its relationship with the entanglement wedge cross-section.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Island in charged black holes

Yi Ling et al.

Summary: The study investigates the information paradox of eternal black holes with charges in a doubly-holographic model, involving calculating entanglement entropy and proposing two strategies to address the paradox. The research aims to properly describe the black hole information paradox using enough degrees of freedom on the brane in the doubly-holographic setup.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Islands in linear dilaton black holes

Georgios K. Karananas et al.

Summary: A novel four-dimensional black hole model is proposed, with expected growth of entanglement entropy before Page's time, but later modified significantly by emergent islands, leading to saturation at a finite value. The study reveals that the entanglement entropy changes along the RG flow with respect to the two-dimensional worldsheet length scale.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Hints of gravitational ergodicity: Berry's ensemble and the universality of the semi-classical Page curve

Chethan Krishnan et al.

Summary: Recent research on black holes has shown that a unitarity-compatible Page curve can be obtained from a single realization of an underlying unitary theory, which is not specific to black holes. The study of a hard sphere gas leaking slowly into a larger box has reproduced the unitarity-compatible Page curve, emphasizing the interplay between multiple time-scales in the problem. The questions addressed here are logically independent of horizon existence, suggesting that semi-classical gravity should also be viewed in a similar light.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Multidisciplinary

Information transfer with a gravitating bath

Hao Geng et al.

Summary: The late-time dominance of entanglement islands is crucial in addressing the information paradox for AdS black holes coupled to a non-gravitational bath. When considering entanglement between different sectors, non-trivial time-dependence is observed. However, discontinuous changes in entropy properties occur with variations in the angle.

SCIPOST PHYSICS (2021)

Article Physics, Multidisciplinary

Moving Mirrors, Page Curves, and Bulk Entropies in AdS2

Ignacio A. Reyes

Summary: This study demonstrates how the case of free fermion in 1 + 1 dimensions reveals the details of the density matrix of radiation produced by a moving mirror, using the resolvent method to derive various parameters and determine when mirrors generate unitary transformations.

PHYSICAL REVIEW LETTERS (2021)

Review Physics, Multidisciplinary

The entropy of Hawking radiation

Ahmed Almheiri et al.

Summary: This review discusses recent progress on the black hole information problem, focusing on a new understanding of calculating the entropy of Hawking radiation. It shows how the method for computing gravitational fine-grained entropy can be extended to account for the entropy of Hawking radiation, revealing significant corrections needed for consistency with unitary black hole evaporation.

REVIEWS OF MODERN PHYSICS (2021)

Article Physics, Particles & Fields

Islands and Page curves in 4d from Type IIB

Christoph F. Uhlemann

Summary: Variants of the black hole information paradox are studied in setups of Type IIB string theory realizing four-dimensional gravity coupled to a bath. Through fully backreacted solutions for configurations of D3, D5 and NS5 branes, along with their dual descriptions as N = 4 SYM and 3d T-rho(sigma)[SU(N)] SCFTs, island contributions to the entanglement entropy of black hole radiation systems have been identified, leading to Page curves. Analogous to the critical angles found in the Karch/Randall models, critical parameters in the brane configurations and dual field theories are identified in the 10-dimensional context.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Dirichlet baths and the not-so-fine-grained Page curve

Kausik Ghosh et al.

Summary: This study examines the computation of entanglement entropy on a gravitating brane, utilizing a doubly holographic prescription with a Dirichlet anchoring condition. By sliding the anchor and analyzing the strength of gravity on the brane, researchers have discovered the holographic nature of gravity and methods for resolving the information paradox. The results align with discussions on gravitating baths and emphasize the significance of the conventional Page curve in addressing the information paradox in flat space.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Holographic entanglement negativity and replica symmetry breaking

Xi Dong et al.

Summary: This paper examines the deep connections between quantum entanglement and spacetime geometry, focusing on the Renyi negativities and their applications in holographic duality. By studying these quantities in the random tensor network model, the authors rigorously derive their large bond dimension asymptotics, as well as conclusions on entanglement negativity in holographic theories with a gravity dual.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Holographic BCFTs and communicating black holes

Hao Geng et al.

Summary: The study explores the AdS/BCFT duality between two-dimensional conformal field theories and three-dimensional anti-de Sitter space with KarchRandall branes, focusing on entanglement entropy and communication between braneworld black holes. A consistent Page curve is found, with gravitational results matching field theory calculations. At zero temperature, an interesting extension to the AdS3/BCFT2 correspondence is uncovered, revealing different gravitational duals based on the value of Delta bcc.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Islands and stretched horizon

Yoshinori Matsuo

Summary: Recent studies have shown that in black hole geometry, the localization of black hole information occurs in a region different from the island. The calculation suggests that this region contains all the information of the total system, while the information of the black hole is concentrated on the surface.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Warped information and entanglement islands in AdS/WCFT

Elena Caceres et al.

Summary: The study on Hawking radiation emitted by the eternal BTZ black hole in equilibrium with a thermal bath, using the notion of double holography, reveals significant differences compared to AdS/CFT work, including a decrease in late-time entropy, existence of island degrees of freedom at all times, and emergence of a field-theoretic IR divergence under certain conditions.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Astronomy & Astrophysics

Islands in flat-space cosmology

Sanam Azarnia et al.

Summary: This paper resolves the information paradox in flat-space cosmologies using the island proposal, coupling an auxiliary flat bath system to the spacetime near the timelike singularity to allow Hawking modes to enter the bath for measurement. By adding island regions receiving partners of Hawking modes, the entropy of radiation follows a Page curve, leading to resolution of the information paradox. Additionally, a quantum teleportation protocol is designed to extract information residing in islands.

PHYSICAL REVIEW D (2021)

Article Physics, Multidisciplinary

Contrasting the fuzzball and wormhole paradigms for black holes

Bin Guo et al.

Summary: The study examines recent proposals related to the 'wormhole paradigm' for black holes, revealing the nonlocality required in these proposals and highlighting the contrast with the fuzzball paradigm. It also explores the concept of effective horizon behavior and the implications of topology change in quantum gravity. This study provides insights into the dynamics and behavior of black holes under different paradigms.

TURKISH JOURNAL OF PHYSICS (2021)

Article Astronomy & Astrophysics

Island may not save the information paradox of Liouville black holes

Ran Li et al.

Summary: Using the quantum extremal island formula, a calculation was performed on the generalized entanglement entropy of Hawking radiation from a two-dimensional Liouville black hole, but no reasonable island was found during the extremization of generalized entropy. The qualitative explanation provided suggests that the page curve cannot be reproduced in the present model, indicating that the islands may not necessarily solve the information paradox for Liouville black holes.

PHYSICAL REVIEW D (2021)

Article Quantum Science & Technology

Distinguishing Random and Black Hole Microstates

Jonah Kudler-Flam et al.

Summary: This work explores the distinguishability between random states and black hole microstates, calculating various generalized quantities to reveal new structures. Extending the study to random tensor networks leads to the discovery of new phenomena, enhancing the understanding of the relationship between holographic states and random tensor networks. The implications on the black hole information problem are discussed, providing new insights and solutions.

PRX QUANTUM (2021)

Article Physics, Particles & Fields

Page curve from defect extremal surface and island in higher dimensions

Jinwei Chu et al.

Summary: The study defines defect extremal surface by minimizing the Ryu-Takayanagi surface corrected by the quantum theory localized on the defect, and extends the results to higher dimensions. It is found that the entropy computed from bulk defect extremal surface is generally less than that from island formula in boundary low energy effective theory, suggesting a smaller entropy from the UV completion of island formula.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Quantum Science & Technology

Entanglement Negativity Spectrum of Random Mixed States: A Diagrammatic Approach

Hassan Shapourian et al.

Summary: This paper investigates the entanglement properties of random mixed states, showing that the logarithmic negativity behaves similarly to the Page curve in different ranges of subregion sizes, with an intermediate phase where it only depends on the size of the system and the bath. When the bath is larger than the system by at least two extra qubits, the logarithmic negativity is identically zero, indicating no distillable entanglement. Using a diagrammatic approach, the semi-circle law of the entanglement negativity spectrum in the two latter regimes is derived, revealing deviations from the Gaussian unitary ensemble for higher-order corrections.

PRX QUANTUM (2021)

Article Physics, Particles & Fields

The price of curiosity: information recovery in de Sitter space

Lars Aalsma et al.

Summary: Recent research has shown that quantum extremal islands can contribute to the fine-grained entropy of black hole radiation, reproducing the unitary Page curve. In de Sitter space, an observer may be able to decode information hidden behind the cosmological horizon, but this could potentially lead to the observer hitting a singularity that forms earlier than the Page time.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Astronomy & Astrophysics

Information paradox and its resolution in de Sitter holography

Hao Geng et al.

Summary: The study formulates a version of the information paradox in de Sitter spacetime, which is resolved by the emergence of entanglement islands as shown in the De Sitter/de Sitter correspondence, leading to a time-dependent Page curve for the entanglement entropy. It suggests that the distribution of microscopic degrees of freedom depends on descriptions, with differences between the static and global descriptions of de Sitter spacetime.

PHYSICAL REVIEW D (2021)

Article Astronomy & Astrophysics

Island finder and entropy bound

Raphael Bousso et al.

Summary: The paper presents a set of conditions that ensure the existence of an entanglement island and set an upper bound on the entropy, making it possible to derive the main features of the Page curve for an evaporating black hole in any spacetime dimension. This argument utilizes Wall's maximin formulation and the quantum focusing conjecture, resulting in a novel entropy bound as a corollary.

PHYSICAL REVIEW D (2021)

Article Astronomy & Astrophysics

Entanglement negativity at large central charge

Gautam Sengupta et al.

Summary: The large central charge behavior of entanglement negativity for a mixed state configuration in a holographic CFT1+1 was established by analyzing the limit of four point and six point twist correlators. The results support the proposed holographic entanglement negativity conjecture in the AdS(3)/CFT2 scenario.

PHYSICAL REVIEW D (2021)

Article Physics, Particles & Fields

Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model

Aranya Bhattacharya et al.

Summary: The study focuses on entanglement islands and subsystem volume complexity of a conformal defect in d-dimensions within the Randall-Sundrum (RS) braneworld model. The left and right modes of the defect mimic an eternal black hole and radiation system, leading to a unitarity-compatible Page curve for the entanglement entropy. The volumes corresponding to the left and right branes show an interesting jump at Page time, indicating a complexity phase transition.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Geometric secret sharing in a model of Hawking radiation

Vijay Balasubramanian et al.

Summary: The study discusses a black hole entangled with an auxiliary radiation system in three-dimensional AdS space and proposes a realization of the ER=EPR scenario by combining with external radiation. By extending the Ryu-Takayanagi formula, it is found that the Page curve for evaporating black holes can be reproduced. Further research suggests limitations in reconstructing certain regions in the interior of Hawking radiation using subsystems at different stages.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Critical islands

Chethan Krishnan

Summary: The article discusses a doubly-holographic prescription for black holes in braneworlds with a vanishing cosmological constant, involving calculating Ryu-Takayanagi surfaces in AdS black funnel spacetimes. The approach is useful for cosmological black holes interacting with deconfined, large-N matter. The study provides evidence for cosmological islands in these braneworld systems.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Pulling out the island with modular flow

Yiming Chen

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Replica wormholes and the entropy of Hawking radiation

Ahmed Almheiri et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

The Page curve of Hawking radiation from semiclassical geometry

Ahmed Almheiri et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Page curve for an evaporating black hole

Fridrik Freyr Gautason et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Notes on islands in asymptotically flat 2d dilaton black holes

Takanori Anegawa et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Islands in asymptotically flat 2D gravity

Thomas Hartman et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Islands in Schwarzschild black holes

Koji Hashimoto et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Replica wormhole and information retrieval in the SYK model coupled to Majorana chains

Yiming Chen et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Simple holographic models of black hole evaporation

Chris Akers et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Multidisciplinary

Entanglement islands in higher dimensions

Ahmed Almheiri et al.

SCIPOST PHYSICS (2020)

Article Physics, Particles & Fields

Local quenches, bulk entanglement entropy and a unitary Page curve

Cesar A. Agon et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Massive islands

Hao Geng et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Entanglement wedge reconstruction and the information paradox

Geoffrey Penington

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Quantum extremal islands made easy. Part II. Black holes on the brane

Hong Zhe Chen et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Reflected entropy for an evaporating black hole

Tianyi Li et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Islands in cosmology

Thomas Hartman et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Astronomy & Astrophysics

Including contributions from entanglement islands to the reflected entropy

Venkatesa Chandrasekaran et al.

PHYSICAL REVIEW D (2020)

Article Astronomy & Astrophysics

Multipartite purification, multiboundary wormholes, and islands in AdS3/CFT2

Aranya Bhattacharya

PHYSICAL REVIEW D (2020)

Article Astronomy & Astrophysics

Extremal Hawking radiation

Michael R. R. Good

PHYSICAL REVIEW D (2020)

Article Astronomy & Astrophysics

Moving mirror model for quasithermal radiation fields

Michael R. R. Good et al.

PHYSICAL REVIEW D (2020)

Article Physics, Particles & Fields

Holographic entanglement negativity for disjoint intervals in AdS3/CFT2

Vinay Malvimat et al.

EUROPEAN PHYSICAL JOURNAL C (2019)

Article Physics, Multidisciplinary

Holographic Entanglement of Purification from Conformal Field Theories

Pawel Caputa et al.

PHYSICAL REVIEW LETTERS (2019)

Article Physics, Particles & Fields

Holographic quantum circuits from splitting/joining local quenches

Teppei Shimaji et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

Covariant holographic entanglement negativity for disjoint intervals in AdS3/CFT2

Vinay Malvimat et al.

EUROPEAN PHYSICAL JOURNAL C (2019)

Article Astronomy & Astrophysics

Holographic entanglement negativity conjecture for adjacent intervals in AdS3/CFT2

Parul Jain et al.

PHYSICS LETTERS B (2019)

Article Physics, Multidisciplinary

Derivation of Holographic Negativity in AdS3/CFT2

Yuya Kusuki et al.

PHYSICAL REVIEW LETTERS (2019)

Article Physics, Particles & Fields

Reflected entropy and entanglement wedge cross section with the first order correction

Hyun-Sik Jeong et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole

Ahmed Almheiri et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Astronomy & Astrophysics

Entanglement negativity and minimal entanglement wedge cross sections in holographic theories

Jonah Kudler-Flam et al.

PHYSICAL REVIEW D (2019)

Article Physics, Particles & Fields

Entanglement negativity, holography and black holes

Pankaj Chaturvedi et al.

EUROPEAN PHYSICAL JOURNAL C (2018)

Article Physics, Multidisciplinary

Entanglement of purification through holographic duality

Koji Umemoto et al.

NATURE PHYSICS (2018)

Article Physics, Particles & Fields

Holographic quantum entanglement negativity

Pankaj Chaturvedi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Physics, Particles & Fields

Entanglement of purification: from spin chains to holography

Phuc Nguyen et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Physics, Multidisciplinary

Towards entanglement of purification for conformal field theories

Hayato Hirai et al.

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS (2018)

Article Multidisciplinary Sciences

The gravity dual of Renyi entropy

Xi Dong

NATURE COMMUNICATIONS (2016)

Article Physics, Multidisciplinary

Finite temperature entanglement negativity in conformal field theory

Pasquale Calabrese et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2015)

Article Physics, Particles & Fields

Comments on entanglement negativity in holographic field theories

Mukund Rangamani et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Article Mechanics

Entanglement negativity in extended systems: a field theoretical approach

Pasquale Calabrese et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2013)

Article Physics, Multidisciplinary

Entanglement Negativity in Quantum Field Theory

Pasquale Calabrese et al.

PHYSICAL REVIEW LETTERS (2012)

Article Physics, Particles & Fields

Time evolution of entanglement entropy from a pulse

Matthew M. Roberts

JOURNAL OF HIGH ENERGY PHYSICS (2012)

Article Physics, Multidisciplinary

Holographic Dual of a Boundary Conformal Field Theory

Tadashi Takayanagi

PHYSICAL REVIEW LETTERS (2011)

Article Physics, Particles & Fields

Aspects of AdS/BCFT

Mitsutoshi Fujita et al.

JOURNAL OF HIGH ENERGY PHYSICS (2011)

Article Physics, Particles & Fields

Holographic calculations of Renyi entropy

Ling-Yan Hung et al.

JOURNAL OF HIGH ENERGY PHYSICS (2011)

Review Physics, Multidisciplinary

Entanglement entropy and conformal field theory

Pasquale Calabrese et al.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2009)

Review Physics, Multidisciplinary

Quantum entanglement

Ryszard Horodecki et al.

REVIEWS OF MODERN PHYSICS (2009)

Article Physics, Multidisciplinary

Logarithmic negativity: A full entanglement monotone that is not convex

MB Plenio

PHYSICAL REVIEW LETTERS (2005)

Article Physics, Mathematical

The entanglement of purification

BM Terhal et al.

JOURNAL OF MATHEMATICAL PHYSICS (2002)

Article Optics

Computable measure of entanglement

G Vidal et al.

PHYSICAL REVIEW A (2002)