Entanglement Suppression Due to Black Hole Scattering
arXiv:2507.23729 · doi:10.1007/JHEP12(2025)039
Abstract
We consider the evolution of entanglement entropy in a two-dimensional conformal field theory with a holographic dual. Specifically, we are interested in a class of excited states produced by a combination of pure-state (local operator) and mixed-state local quenches. We employ a method that allows us to determine the full time evolution analytically. While a single insertion of a local operator gives rise to a logarithmic time profile of entanglement entropy relative to the vacuum, we find that this growth is heavily suppressed in the presence of a mixed-state quench, reducing it to a time-independent constant bump. The degree of suppression depends on the relative position of the quenches as well as the ratio of regularization parameters associated with the quenches. This work sheds light on the interesting properties of gravitational scattering involving black holes.
52 pages, 19 figures; expanded for better clarity
References in corpus (49)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Chaos and Quantum Thermalization
- Aspects of Holographic Entanglement Entropy
- Entropy and Area
- A Covariant Holographic Entanglement Entropy Proposal
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement entropy and conformal field theory
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Entanglement Renormalization and Holography
- Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
- Holographic Entanglement Entropy: An Overview
- Entanglement entropy in free quantum field theory
- Holographic duality from random tensor networks
- Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Universality of Long-Distance AdS Physics from the CFT Bootstrap
- Relative Entropy and Holography
- Holographic Entanglement Entropy
- Thermodynamical Property of Entanglement Entropy for Excited States
- Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
- Entanglement Temperature and Entanglement Entropy of Excited States
- Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
- Holographic Local Quenches and Entanglement Density
- Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
- Quantum Entanglement of Local Operators in Conformal Field Theories
- Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
- Quantum Dimension as Entanglement Entropy in 2D CFTs
- Quantum Entanglement of Localized Excited States at Finite Temperature
- Quantum Regge Trajectories and the Virasoro Analytic Bootstrap
- Entanglement of Local Operators in large N CFTs
- Notes on Quantum Entanglement of Local Operators
- Holographic Quantum Circuits from Splitting/Joining Local Quenches
- Light Cone Bootstrap in General 2D CFTs and Entanglement from Light Cone Singularity
- Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
- Rényi entropy of locally excited states with thermal and boundary effect in 2D CFTs
- Entanglement constant for conformal families
- Double Local Quenches in 2D CFTs and Gravitational Force
- Renyi Entropy for Local Quenches in 2D CFTs from Numerical Conformal Blocks
- Universal corrections to entanglement entropy of local quantum quenches
- Scattering effect on entanglement propagation in RCFTs
- Quantum Entanglement of Fermionic Local Operators
- Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
- Evolution of Entanglement Entropy in Orbifold CFTs
- Entanglement Entropy after Double-Excitation as Interaction Measure
- Quantum dimensions from local operator excitations in the Ising model
- Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
- Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
- Universal Local Operator Quenches and Entanglement Entropy