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arXiv · 1703.09939

Out-of-Time-Ordered Correlators in $(T^2)^n/\mathbb{Z}_n$

Pawel Caputa·Yuya Kusuki·Tadashi Takayanagi·Kento Watanabe
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Abstract

In this note we continue analysing the non-equilibrium dynamics in the $(T^2)^n/\mathbb{Z}_n$ orbifold conformal field theory. We compute the out-of-time-ordered four-point correlators with twist operators. For rational $\eta \ (=p/q)$ which is the square of the compactification radius, we find that the correlators approach non-trivial constants at late time. For $n=2$ they are expressed in terms of the modular matrices and for higher $n$ orbifolds are functions of $pq$ and $n$. For irrational $\eta$, we find a new polynomial decay of the correlators that is a signature of an intermediate regime between rational and chaotic models.

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Pawel Caputa, Yuya Kusuki, Tadashi Takayanagi, Kento Watanabe. 2017-03-29. Out-of-Time-Ordered Correlators in $(T^2)^n/\mathbb{Z}_n$. https://doi.org/10.1103/physrevd.96.046020

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