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Title: Diffusion and chaos from near AdS2 horizons

Abstract

We calculate the thermal diffusivity D = $$\kappa/c_\rho$$ and butterfy velocity $$\upsilon_\beta$$ in holographic models that flow to $$AdS_2$$ x $R^d$ fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of $$AdS_2$$ and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension $$\Delta$$ = 2 then this relationship is always given by D = $$\upsilon_B^2$$/(2$$\pi$$T).

Authors:
 [1];  [2]
+ Show Author Affiliations
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
  2. Durham Univ. (United Kingdom). Center for Particle Theory and Department of Mathematical Sciences
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1367165
Grant/Contract Number:  
SC0012567
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Blake, Mike, and Donos, Aristomenis. Diffusion and chaos from near AdS2 horizons. United States: N. p., 2017. Web. doi:10.1007/JHEP02(2017)013.
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Blake, Mike, & Donos, Aristomenis. Diffusion and chaos from near AdS2 horizons. United States. https://doi.org/10.1007/JHEP02(2017)013
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Blake, Mike, and Donos, Aristomenis. Fri . "Diffusion and chaos from near AdS2 horizons". United States. https://doi.org/10.1007/JHEP02(2017)013. https://www.osti.gov/servlets/purl/1367165.
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@article{osti_1367165,
title = {Diffusion and chaos from near AdS2 horizons},
author = {Blake, Mike and Donos, Aristomenis},
abstractNote = {We calculate the thermal diffusivity D = $\kappa/c_\rho$ and butterfy velocity $\upsilon_\beta$ in holographic models that flow to $AdS_2$ x $R^d$ fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of $AdS_2$ and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension $\Delta$ = 2 then this relationship is always given by D = $\upsilon_B^2$/(2$\pi$T).},
doi = {10.1007/JHEP02(2017)013},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2017,
place = {United States},
year = {Fri Feb 03 00:00:00 EST 2017},
month = {Fri Feb 03 00:00:00 EST 2017}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/JHEP02(2017)013
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    Works referencing / citing this record:

    Quantum chaos and holographic tensor models
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    Three dimensional view of the SYK/AdS duality
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    • Das, Sumit R.; Jevicki, Antal; Suzuki, Kenta
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    Effective field theory for chaotic CFTs
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    An introduction to the SYK model
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    Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
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    Slow Relaxation and Diffusion in Holographic Quantum Critical Phases
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    Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states
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    • Davison, Richard A.; Gentle, Simon A.; Goutéraux, Blaise
    • American Physical Society (APS)
    • DOI: 10.17863/cam.45725

    Slow Relaxation and Diffusion in Holographic Quantum Critical Phases
    text, January 2019

    • Davison, Richard; Gentle, Sa; Goutéraux, B.
    • Apollo - University of Cambridge Repository
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    Three Dimensional View of the SYK/AdS Duality
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    Thermal diffusivity and chaos in metals without quasiparticles
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    Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
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    Spread of entanglement in a Sachdev-Ye-Kitaev chain
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    A quantum hydrodynamical description for scrambling and many-body chaos
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    Butterfly Velocity in Quadratic Gravity
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