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Phases of scrambling in eigenstates

by Tarek Anous, Julian Sonner

Submission summary

As Contributors: Tarek Anous · Julian Sonner
Arxiv Link: https://arxiv.org/abs/1903.03143v2
Date submitted: 2019-05-03
Submitted by: Anous, Tarek
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Theory

Abstract

We use the monodromy method to compute expectation values of an arbitrary number of light operators in finitely excited ("heavy") eigenstates of holographic 2D CFT. For eigenstates with scaling dimensions above the BTZ threshold, these behave thermally up to small corrections, with an effective temperature determined by the heavy state. Below the threshold we find oscillatory and not decaying behavior. As an application of these results we compute the expectation of the out-of-time order arrangement of four light operators in a heavy eigenstate, i.e. a six-point function. Above the threshold we find maximally scrambling behavior with Lyapunov exponent $2\pi T_{\rm eff}$. Below threshold we find that the eigenstate OTOC shows persistent harmonic oscillations.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1903.03143v2 on 3 May 2019

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