Correspondence between Entanglement Growth and Probability Distribution of Quasi-Particles

Abstract

We study the excess of (Renyi) entanglement entropy in various free field theories for the locally excited states defined by acting with local operators on the ground state. It is defined by subtracting the entropy for the ground state from the one for the excited state. Here the spacetime dimension is greater than or equal to 4. We find a correspondence between entanglement and a probability. The probability with which a quasi-particle exists in a subregion gives the excess of the entropy. We also propose a toy model which reproduces the excess in the replica method. In this model, a quasi-particle created by a local operator propagates freely and its probability distribution gives the excess.

23 pages + appendix, 13 figures; Footnote added

References in corpus (22)

• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Entanglement entropy of two disjoint intervals in conformal field theory II
• Holographic Evolution of Entanglement Entropy
• Entanglement hamiltonians in two-dimensional conformal field theory
• Anti-de Sitter Space from Optimization of Path Integrals in Conformal Field Theories
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Remarks on the entanglement entropy for disconnected regions
• Entanglement of low-energy excitations in Conformal Field Theory
• Surface/State Correspondence as a Generalized Holography
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Quantum Dimension as Entanglement Entropy in 2D CFTs
• Entanglement negativity after a global quantum quench
• Quantum Entanglement of Localized Excited States at Finite Temperature
• Entanglement of Local Operators in large N CFTs
• Notes on Quantum Entanglement of Local Operators
• From Path Integrals to Tensor Networks for AdS/CFT
• On entanglement spreading from holography
• Quantum Quench and Scaling of Entanglement Entropy
• Scattering effect on entanglement propagation in RCFTs
• Quantum Entanglement of Locally Excited States in Maxwell Theory
• Entanglement Entropy of Local Operators in Quantum Lifshitz Theory
• Bridging global and local quantum quenches in conformal field theories

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