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This paper investigates the deep theoretical link between pole-skipping phenomena in quantum chaotic systems and Regge trajectories within a dual stringy black hole geometry. By analyzing few-body operators via Rindler conformal field theories, it proposes that these mathematical structures encode intrinsic properties of horizons relevant to high-energy physics theory. While highly significant for fundamental research into the intersection of gravity and quantum mechanics, this work remains strictly theoretical with no immediate implications for applied AI or practical quantum computing hardware.
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Probing Stringy Horizons with Pole-Skipping in Non-Maximal Chaotic Systems

arXiv2 min read

arXiv:2512.20700v2 Announce Type: replace-cross Abstract: In this paper, we study pole-skipping in non-maximally quantum chaotic systems. Using Rindler conformal field theories and the large-$q$ SYK chain as illustrative examples, we argue that the pole-skipping points of few-body operators organize into trajectories in the complex frequency-momentum plane, with the leading trajectory encoding the quantum Lyapunov exponent. We further propose that these trajectories admit a natural interpretation as Regge trajectories of stringy excitations in a dual stringy black hole geometry. From this perspective, pole-skipping for an individual operator can be viewed as tracking the stringy horizon through the response of a single excitation. Our results suggest that pole-skipping reflects intrinsic properties of quantum chaotic systems and may be deeply connected to the structure of horizons in the stringy regime.

Abstract:In this paper, we study pole-skipping in non-maximally quantum chaotic systems. Using Rindler conformal field theories and the large-$q$ SYK chain as illustrative examples, we argue that the pole-skipping points of few-body operators organize into trajectories in the complex frequency-momentum plane, with the leading trajectory encoding the quantum Lyapunov exponent. We further propose that these trajectories admit a natural interpretation as Regge trajectories of stringy excitations in a dual stringy black hole geometry. From this perspective, pole-skipping for an individual operator can be viewed as tracking the stringy horizon through the response of a single excitation. Our results suggest that pole-skipping reflects intrinsic properties of quantum chaotic systems and may be deeply connected to the structure of horizons in the stringy regime.

arXiv:2512.20700 [hep-th]

(or arXiv:2512.20700v2 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2512.20700 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1103/cvjn-7kvp Focus to learn more DOI(s) linking to related resources

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Full text under the publisher's open licence · 221 words

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