Many-body chaos and energy dynamics in holography
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13130_2018_Article_9133.pdf
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Author(s)
Davison, Richard A.
Blake, Michael Andrew
Grozdanov, Saso
Liu, Hong
Date Issued
October 2018
Journal
Journal of High Energy Physics
Publisher
Springer Nature
Citation
Blake, Mike et al. "Many-body chaos and energy dynamics in holography." Journal of High Energy Physics 2018 (October 2018): 35 © 2018 The Author(s)
Version
Final published version
Abstract
Recent developments have indicated that in addition to out-of-time ordered correlation functions (OTOCs), quantum chaos also has a sharp manifestation in the thermal energy density two-point functions, at least for maximally chaotic systems. The manifestation, referred to as pole-skipping, concerns the analytic behaviour of energy density two-point functions around a special point ω = iλ, k = iλ/vB in the complex frequency and momentum plane. Here λ and vB are the Lyapunov exponent and butterfly velocity characterising quantum chaos. In this paper we provide an argument that the phenomenon of pole-skipping is universal for general finite temperature systems dual to Einstein gravity coupled to matter. In doing so we uncover a surprising universal feature of the linearised Einstein equations around a static black hole geometry. We also study analytically a holographic axion model where all of the features of our general argument as well as the pole-skipping phenomenon can be verified in detail. Keywords: AdS-CFT Correspondence; Black Holes; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT)
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP10(2018)035
