Holographic local quenches and entanglement density

By M. Nozaki, Tokiro Numasawa, T. Takayanagi. 2013

256 citations recorded by the source corpus.

A bstractWe 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.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1fccc10fafdbdbb031409661d9f8dee11485747c

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Citations in the corpus

Entanglement of local operators in large-N conformal field theories (2014, unknown): “(8) Throughout the computation we treat ǫ ± it as purely real numbers until the end of calculations as in [16, 19, 9].”
Shape dependence of entanglement entropy in conformal field theories (2015, unknown): “Article funded by SCOAP3. doi:10.1007/JHEP04(2016)088 J H E P 0 4 ( 2 0 1 6 ) 0 8 8 Contents”
Quantum quenches in 1 + 1 dimensional conformal field theories (2016, unknown): “[116, 117, 121, 122, 240, 241]) and free field theories [32, 242, 243].”
Quantum entanglement of localized excited states at finite temperature (2014, unknown): “As shown in [25], the picture of propagating EPR pairs is also consistent with the expectation value of the energy.”
Time evolution of entanglement entropy from black hole interiors (2013, background): “Other types of quenches have also been studied holographically in, for example, [12,13,14,15,16,17,18,19].”
Holographic entanglement entropy from 2d CFT: heavy states and local quenches (2014, methodology): “This again exactly matches the holographic result of [35] (see also expressions (108)(111) in [40]), with the two OPE channels corresponding to bulk geodesics with different winding around the defect.”
Black holes and the butterfly effect (2013, methodology): “Mutual information and entanglement entropy have been used to diagnose thermalization after a quantum quench, in both conventional [14, 15] and holographic setups [7, 16, 17, 18, 19, 20, 21, 22].”