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Many-body chaos and energy dynamics in holography.
- Source :
-
Journal of High Energy Physics . Oct2018, Vol. 2018 Issue 10, p1-1. 1p. - Publication Year :
- 2018
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM chaos
*MANY-body problem
*HOLOGRAPHY
*ENERGY density
*LYAPUNOV exponents
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2018
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 133176928
- Full Text :
- https://doi.org/10.1007/JHEP10(2018)035