Holographic Local Quenches and Entanglement Density

Abstract

We propose a free falling particle in an AdS space as a holographic model of local quench. Local quenches are triggered by local excitations in a given quantum system. We calculate the time-evolution of holographic entanglement entropy. We confirm a logarithmic time-evolution, which is known to be typical in two dimensional local quenches. To study the structure of quantum entanglement in general quantum systems, we introduce a new quantity which we call entanglement density and apply this analysis to quantum quenches. We show that this quantity is directly related to the energy density in a small size limit. Moreover, we find a simple relationship between the amount of quantum information possessed by a massive object and its total energy based on the AdS/CFT.

41 pages, 19 figures, minor change

References in corpus (16)

• Towards a derivation of holographic entanglement entropy
• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Thermalization of Strongly Coupled Field Theories
• A holographic proof of the strong subadditivity of entanglement entropy
• Holographic Evolution of Entanglement Entropy
• Thermodynamical Property of Entanglement Entropy for Excited States
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Evolution of entanglement after a local quench
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Quantum quenches of holographic plasmas
• Entanglement evolution after connecting finite to infinite quantum chains
• Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining
• Dynamics of holographic thermalization
• Constructing holographic spacetimes using entanglement renormalization
• Instantaneous Thermalization in Holographic Plasmas
• Holographic thermalization of mutual and tripartite information in 2d CFTs

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