Many-body chaos and energy dynamics in holography
Name
13130_2018_Article_9133.pdf
Size
760.33 KB
Format
Adobe PDF
Checksum (MD5)
2240e02f06d607971e026e319a814868
Author(s)
Davison, Richard A.
Blake, Michael Andrew
Grozdanov, Saso
Liu, Hong
Date Issued
October 2018
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Blake, Mike, et al. “Many-Body Chaos and Energy Dynamics in Holography.” Journal of High Energy Physics, vol. 2018, no. 10, Oct. 2018.
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/v[subscript B] in the complex frequency and momentum plane. Here λ and v[subscript B] 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP10(2018)035
