Dynamics of entanglement entropy from Einstein equation
- 18 July 2013
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 88 (2)
- https://doi.org/10.1103/physrevd.88.026012
Abstract
We study the dynamics of entanglement entropy for weakly excited states in conformal field theories by using anti-de Sitter/conformal field theory (AdS/CFT). This is aimed at a first step to finding a counterpart of the Einstein equation in CFT language. In particular, we point out that the entanglement entropy satisfies differential equations that directly correspond to the Einstein equation in several setups of AdS/CFT. We also define a quantity called entanglement density in higher dimensional field theories and study its dynamical property for weakly excited states in conformal field theories. DOI: http://dx.doi.org/10.1103/PhysRevD.88.026012 © 2013 American Physical SocietyKeywords
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