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Probing Stringy Horizons with Pole Skipping in Nonmaximal Chaotic Systems
1University of Chinese Academy of Sciences, University of Chinese Academy of Sciences, Kavli Institute for Theoretical Sciences, Beijing 100190, China and School of Quantum, Beijing 100190, China.
None:
In this Letter, we study pole skipping in nonmaximally quantum chaotic systems. Using Rindler conformal field theories and the large-q Sachdev-Ye-Kitaev 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.
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