Dynamics of Entanglement Entropy from Einstein Equation

Dynamics of Entanglement Entropy from Einstein Equation
复制标题

DOI：
10.1103/physrevd.88.026012
复制
发表时间：
2013-04
期刊：
Physical Review D
影响因子：
5
通讯作者：
M. Nozaki;Tokiro Numasawa;A. Prudenziati;T. Takayanagi
M. Nozaki;Tokiro Numasawa;A. Prudenziati;T. Takayanagi
中科院分区：
物理与天体物理2区
文献类型：
--
作者：
M. Nozaki;Tokiro Numasawa;A. Prudenziati;T. Takayanagi

文献摘要

被引文献

相似文献

我们利用反德西特/共形场理论（AdS/CFT）研究了共形场论中弱激发态的纠缠熵动力学。这是寻找 CFT 语言中爱因斯坦方程对应项的第一步。特别是，我们指出纠缠熵满足直接对应于 AdS/CFT 的几种设置中的爱因斯坦方程的微分方程。我们还在高维场论中定义了一个称为纠缠密度的量，并研究了其在共形场论中弱激发态的动力学性质。
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.