Tuesday, April 30, 2013

1304.7100 (Masahiro Nozaki et al.)

Dynamics of Entanglement Entropy from Einstein Equation    [PDF]

Masahiro Nozaki, Tokiro Numasawa, Andrea Prudenziati, Tadashi Takayanagi
We study the dynamics of entanglement entropy for weakly excited states in conformal field theories by using the AdS/CFT. This is aimed at a first step to find a counterpart of Einstein equation in the CFT language. In particular, we point out that the entanglement entropy satisfies differential equations which 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.
View original: http://arxiv.org/abs/1304.7100

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