Many-body chaos and energy dynamics in holography

By Mike Blake, R. Davison, S. Grozdanov, Hong Liu. Journal of High Energy Physics, 2018

154 citations recorded by the source corpus.

A bstractRecent 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c9e8d5b64650ff03fae22f00f52d27d9cb3dfa5a

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In Astronomy and Astrophysics

  1. P. Kovtun
  2. A. Starinets
  3. S. Grozdanov
  4. Petar Tadi'c
  5. S. Hartnoll
  6. R. Myers
  7. M. Rangamani
  8. S. Sachdev

In Nuclear and High Energy Physics

  1. P. Kovtun
  2. S. Grozdanov
  3. A. Starinets
  4. Petar Tadi'c
  5. S. Hartnoll
  6. R. Myers
  7. S. Sachdev
  8. M. Rangamani

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