Scattering effect on entanglement propagation in RCFTs

Abstract

In this paper we discuss the scattering effect on entanglement propagation in RCFTs. In our setup, we consider the time evolution of excited states created by the insertion of many local operators. Our results show that because of the finiteness of quantum dimension, entanglement is not changed after the scattering in RCFTs. In this mean, entanglement is conserved after the scattering event in RCFTs, which reflects the integrability of the system. Our results are also consistent with the free quasiparticle picture after the global quenches.

arXiv comment26 pages, Latex, 13 figures, reference added

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• Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
• Double Local Quenches in 2D CFTs and Gravitational Force
• Renyi Entropy for Local Quenches in 2D CFTs from Numerical Conformal Blocks
• The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
• Conformal bootstrap to Rényi entropy in 2D Liouville and super-Liouville CFTs
• Entanglement entropy in (1+1)D CFTs with multiple local excitations
• Capacity of Entanglement in Local Operators
• New Properties of Large-$c$ Conformal Blocks from Recursion Relation
• Out-of-Time-Ordered Correlators in $(T^2{)}^n/{\mathbb{Z}}_n$
• Entanglement Entropy after Double-Excitation as Interaction Measure
• Holographic Entanglement Entropy of Local Quenches in AdS${}_4$/CFT${}_3$: A Finite-Element Approach
• Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
• Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
• Universal Local Operator Quenches and Entanglement Entropy
• Correspondence between Entanglement Growth and Probability Distribution of Quasi-Particles
• Entanglement spreading after local and extended excitations in a free-fermion chain
• Entanglement Suppression Due to Black Hole Scattering