Entanglement of Local Operators in large N CFTs

Abstract

We study Renyi and von-Neumann entanglement entropy of excited states created by local operators in large N (or large central charge) CFTs. First we point that a naive large N expansion can break down for the von-Neumann entanglement entropy, while it does not for the Renyi entanglement entropy. This happens even for the excited states in free Yang-Mills theories. Next, we analyze strongly coupled large N CFTs from both field theoretic and holographic viewpoints. We find that the Renyi entanglement entropy of the excited state produced by a local operator, grows logarithmically under its time evolution and its coefficient is proportional to the conformal dimension of the local operator.

1+44 pages, 5 figures, v2 references added, table of contents added

References in corpus (4)

• Thermalization of Strongly Coupled Field Theories
• Thermodynamical Property of Entanglement Entropy for Excited States
• Entanglement of low-energy excitations in Conformal Field Theory
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches

Cited by in corpus (26)

• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Rényi entropy of locally excited states with thermal and boundary effect in 2D CFTs
• Excited state entanglement in one dimensional quantum critical systems: Extensivity and the role of microscopic details
• Entanglement and geometry from subalgebras of the Virasoro algebra
• Scattering effect on entanglement propagation in RCFTs
• On the real-time evolution of pseudo-entropy in 2d CFTs
• Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
• Holographic entanglement entropy in the nonconformal medium
• Capacity of Entanglement in Local Operators
• Entanglement Entropy of Disjoint Regions in Excited States : An Operator Method
• Subsystem distance after a local operator quench
• Gravitational back-reaction is magical
• Quantum dimensions from local operator excitations in the Ising model
• Pseudo entropy under joining local quenches
• Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
• Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
• Entanglement Entropy of Local Operators in Quantum Lifshitz Theory
• From locality to irregularity: Introducing local quenches in massive scalar field theory
• Entanglement entropy and Schmidt number as measures of delocalization of $\alpha$ clusters in one-dimensional nuclear systems
• A falling magnetic monopole as a holographic local quench
• Local quench within the Keldysh technique
• Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
• Entanglement entropy of local gravitational quenches
• Holographic Local Operator Quenches in BCFTs
• Channel induced dynamics of quantum information in mixed state free QFTs
• Entanglement Suppression Due to Black Hole Scattering