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Probing Pole Skipping through Scalar-Gauss-Bonnet coupling

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arxiv 2301.03984 v3 pith:VOMXQA5D submitted 2023-01-10 hep-th

classification hep-th
keywords pointspoleskippingbulkspecialchaosexternalholographic
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The holographic phenomena of pole skipping have been studied in the presence of scalar-Gauss-Bonnet interaction in the four-dimensional Anti-de Sitter-Schwarzchild black hole background. Pole skipping points are special points in phase space where the bulk linearised differential equations have multiple ingoing solutions. Those special points are claimed to be connected to chaos. In this paper, we initiated a novel study on understanding the response of those special points under the application of external sources. The source is identified with the holographic dual operator of the bulk scalar field with its non-normalizable solutions. We analyze in detail the dynamics of pole skipping points in both sound and shear channels, considering linear perturbation in bulk. In the perturbative regime, characteristic parameters for chaos, namely Lyapunov exponent and butterfly velocity, remain unchanged. However, the diffusion coefficient has evolved non-trivially under the external source.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Probing Stringy Horizons with Pole-Skipping in Non-Maximal Chaotic Systems

    hep-th 2025-12 conditional novelty 7.0 of 10

    Pole-skipping points in non-maximally chaotic systems form Regge-like trajectories whose leading curve encodes the quantum Lyapunov exponent.

  2. Quantum chaos and pole skipping in two-dimensional conformal perturbation theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    A deformed 2D CFT's stress-tensor pole-skipping point shifts at O(lambda^2); at h=1/2 the shift matches the holographic butterfly velocity.

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