Holographic Local Quenches and Entanglement Density
Feb 22, 2013
41 pages
Published in:
- JHEP 05 (2013) 080
e-Print:
- 1302.5703 [hep-th]
Report number:
- YITP-13-14,
- IPMU-13-0045
View in:
Citations per year
Abstract: (Springer)
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.Note:
- 41 pages, 19 figures, minor change
- entanglement: quantum
- entropy: entanglement
- space: anti-de Sitter
- field theory: conformal
- dimension: 2
- quenching
- holography
- AdS/CFT correspondence
References(108)
Figures(35)
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