Many-body chaos and energy dynamics in holography

Blake, Mike; Davison, Richard A.; Grozdanov, Sašo; Liu, Hong

doi:10.1007/jhep10(2018)035

Many-body chaos and energy dynamics in holography

Journal Article · Fri Oct 05 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2018)035· OSTI ID:1611580

Blake, Mike ^[1]; Davison, Richard A. ^[2]; Grozdanov, Sašo ^[3]; Liu, Hong ^[3]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); DOE/OSTI
Harvard Univ., Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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_B in the complex frequency and momentum plane. Here λ and v_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.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP); Gordon and Betty Moore Foundation; Simons Foundation

Grant/Contract Number:: SC0011090; SC0012567

OSTI ID:: 1611580

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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The complex life of hydrodynamic modes Grozdanov, Sašo; Kovtun, Pavel K.; Starinets, Andrei O. Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/jhep11(2019)097	journal	November 2019
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Transport and chaos in lattice Sachdev-Ye-Kitaev models Guo, Haoyu; Gu, Yingfei; Sachdev, Subir Physical Review B, Vol. 100, Issue 4 https://doi.org/10.1103/physrevb.100.045140	journal	July 2019
Pole skipping with finite-coupling corrections Natsuume, Makoto; Okamura, Takashi Physical Review D, Vol. 100, Issue 12 https://doi.org/10.1103/physrevd.100.126012	journal	December 2019
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Slow Relaxation and Diffusion in Holographic Quantum Critical Phases Davison, Richard A.; Gentle, Simon A.; Goutéraux, Blaise Physical Review Letters, Vol. 123, Issue 14 https://doi.org/10.1103/physrevlett.123.141601	journal	October 2019
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Slow Relaxation and Diffusion in Holographic Quantum Critical Phases Davison, Richard; Gentle, Sa; Goutéraux, B. Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.45724	text	January 2019

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