Time dependence of reflected entropy in rational and holographic conformal field theories

Abstract

We calculate the time dependence of the reflected entropy of two disconnected regions after a global quench in $(1+1)$-dimensional conformal field theories and in large temperature limit. For rational conformal field theories, we find that the time evolution of the reflected entropy is the same as that of the mutual information. We get the same result for holographic theories in the limit where the separation between disconnected regions is much smaller than their respective sizes. We discuss how this result is consistent with the quasi-particle picture of Calabrese and Cardy \cite{calabrese-cardy}.

arXiv commentv3: published version

References in corpus (34)

• A computable measure of entanglement
• The Black Hole in Three Dimensional Space Time
• A Covariant Holographic Entanglement Entropy Proposal
• Geometric and Renormalized Entropy in Conformal Field Theory
• Entanglement entropy and conformal field theory
• Eternal Black Holes in AdS
• Evolution of Entanglement Entropy in One-Dimensional Systems
• AdS3 Black Holes and a Stringy Exclusion Principle
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Entanglement Tsunami: Universal Scaling in Holographic Thermalization
• Thermalization of Strongly Coupled Field Theories
• Holographic Entanglement of Purification
• Holographic Evolution of Entanglement Entropy
• Holographic Thermalization
• Entanglement dynamics after quantum quenches in generic integrable systems
• Entanglement growth during thermalization in holographic systems
• On entanglement spreading in chaotic systems
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Entanglement of purification: from spin chains to holography
• Entanglement Scrambling in 2d Conformal Field Theory
• Holographic evolution of the mutual information
• Entanglement negativity after a global quantum quench
• Mutual information after a local quench in conformal field theory
• Entanglement Wedge Cross Sections Require Tripartite Entanglement
• Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
• Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
• Holographic mutual information in global Vaidya-BTZ spacetime
• Linear response of entanglement entropy from holography
• Rindler-AdS/CFT
• Exploring the Membrane Theory of Entanglement Dynamics
• Thermalization of Mutual Information in Hyperscaling Violating Backgrounds
• Dynamics of the Area Law of Entanglement Entropy
• Localized Excitations from Localized Unitary Operators
• Time dependence of entanglement for steady state formation in AdS${}_3$/CFT${}_2$

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• Reflected Entropy for an Evaporating Black Hole
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• Multipartite Purification, Multiboundary Wormholes and Islands in AdS${}_3$/CFT${}_2$
• Topological reflected entropy in Chern-Simons theories
• Reflected entropy for free scalars
• Evolution of Entanglement Wedge Cross Section Following a Global Quench
• Reflected entropy is not a correlation measure
• Holographic Study of Reflected Entropy in Anisotropic Theories
• Entanglement Wedge Cross Section in Holographic Excited States
• Entanglement wedge cross-section in shock wave geometries
• Entanglement Wedge Cross Section Growth During Thermalization
• Entanglement Wedge Cross Section with Gauss-Bonnet Corrections and Thermal Quench
• A quantum information perspective on meson melting
• Rényi Entanglement of Purification and Half Rényi Reflected Entropy in Free Scalar Theory