Entanglement entropy and the Ricci flow

Details Entanglement entropy and the Ricci flow Entanglement entropy and the Ricci flow

2006-09-06

arxiv.org/abs/hep-th/0609045v1

Phys.Lett.B646:268-274,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/j.physletb.2007.01.031

We analyze the Ricci flow of a noncompact metric that describes a
two-dimensional black hole. We consider entanglement entropy of a 2d black hole
which is due to the quantum correlations between two subsystems: one is inside
and the other is outside the black hole horizon. It is demonstrated that the
entanglement entropy is monotonic along the Ricci flow.

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