Thermal diffusivity and pole-skipping in the incoherent semilocally critical IR

Pole-skipping offers compelling evidence for the hydrodynamic origin of chaotic behavior in strongly coupled quantum systems. We demonstrate that the cumulative effect of higher-order corrections to the hydrodynamic diffusive mode, captured by the parameter Ω, determines the thermal diffusivity thro...

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Main Author: Hyun-Sik Jeong
Format: Article
Language:English
Published: Elsevier 2025-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325003521
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author Hyun-Sik Jeong
author_facet Hyun-Sik Jeong
author_sort Hyun-Sik Jeong
collection DOAJ
description Pole-skipping offers compelling evidence for the hydrodynamic origin of chaotic behavior in strongly coupled quantum systems. We demonstrate that the cumulative effect of higher-order corrections to the hydrodynamic diffusive mode, captured by the parameter Ω, determines the thermal diffusivity through chaos parameters, providing new insights into the interplay between chaos and hydrodynamics. In the incoherent limit, where momentum relaxation is pronounced, we show that the thermodynamically stable phase corresponds to a semi-locally critical IR fixed point. This finding extends previous analyses of simple IR fixed points and may offer a gravity dual description for stable phases beyond the Sachdev-Ye-Kitaev model in the incoherent regime. Additionally, we connect our findings to a universal bound on the thermal diffusion constant in holography, establishing a direct link with the dynamical critical exponent z. We derive a new relation, Ω=(2−z)/(2z−2), and propose that it characterizes the thermodynamically stable phase for generic values of z.
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spelling doaj-art-e6b7c6b193db4bb39004b85b1fcbe64f2025-08-20T01:55:31ZengElsevierPhysics Letters B0370-26932025-07-0186613959110.1016/j.physletb.2025.139591Thermal diffusivity and pole-skipping in the incoherent semilocally critical IRHyun-Sik Jeong0Instituto de Física Teórica UAM/CSIC, Calle Nicolás Cabrera 13-15, Cantoblanco, 28049 Madrid, Spain; Departamento de Física Teórica, Universidad Autónoma de Madrid, 28049 Madrid, Spain; Correspondence to: Instituto de Física Teórica UAM/CSIC, Calle Nicolás Cabrera 13-15, Cantoblanco, 28049 Madrid, Spain.Pole-skipping offers compelling evidence for the hydrodynamic origin of chaotic behavior in strongly coupled quantum systems. We demonstrate that the cumulative effect of higher-order corrections to the hydrodynamic diffusive mode, captured by the parameter Ω, determines the thermal diffusivity through chaos parameters, providing new insights into the interplay between chaos and hydrodynamics. In the incoherent limit, where momentum relaxation is pronounced, we show that the thermodynamically stable phase corresponds to a semi-locally critical IR fixed point. This finding extends previous analyses of simple IR fixed points and may offer a gravity dual description for stable phases beyond the Sachdev-Ye-Kitaev model in the incoherent regime. Additionally, we connect our findings to a universal bound on the thermal diffusion constant in holography, establishing a direct link with the dynamical critical exponent z. We derive a new relation, Ω=(2−z)/(2z−2), and propose that it characterizes the thermodynamically stable phase for generic values of z.http://www.sciencedirect.com/science/article/pii/S0370269325003521
spellingShingle Hyun-Sik Jeong
Thermal diffusivity and pole-skipping in the incoherent semilocally critical IR
Physics Letters B
title Thermal diffusivity and pole-skipping in the incoherent semilocally critical IR
title_full Thermal diffusivity and pole-skipping in the incoherent semilocally critical IR
title_fullStr Thermal diffusivity and pole-skipping in the incoherent semilocally critical IR
title_full_unstemmed Thermal diffusivity and pole-skipping in the incoherent semilocally critical IR
title_short Thermal diffusivity and pole-skipping in the incoherent semilocally critical IR
title_sort thermal diffusivity and pole skipping in the incoherent semilocally critical ir
url http://www.sciencedirect.com/science/article/pii/S0370269325003521
work_keys_str_mv AT hyunsikjeong thermaldiffusivityandpoleskippingintheincoherentsemilocallycriticalir