Title

"Quantum Entanglement of Local Operators"

Speaker

Masahiro Nozaki (YITP)

Abstract

We introduce a series of quantities which characterizes a given local operator in any conformal field theory from the viewpoint of quantum entanglement. It is defined by the increased amount of (Renyi) entanglement entropy at late time for an excited state defined by acting the local operator on the vacuum. We consider a conformal ?eld theory on an infinite space and take the subsystem in the definition of the entanglement entropy to be its half. We calculate these quantities for a free >massless scalar field theory in 2,4 and 6 dimensions. We find that these results are interpreted in terms of quantum entanglement of finite number of states, including EPR states. They agree with a heuristic picture of propagations of entangled particles. And we also find that these quantities obey interesting laws. We currently investigate these quantities in strongly coupled theory. And we obtained some interesting feature of these quantity. We would like to talk about the results which we obtained as long as time allows. This talk is based on the paper (Phys. Rev. Lett. 112, 111602 (2014), arXiv:1401.0539 [hep-th]) and two papers which we are preparing.

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