Title: A new probe of non-maximal quantum chaos: pole-skipping of higher spin operators
Abstract: Pole-skipping is an independent probe of quantum chaos beyond the Lyapunov exponent. In this talk, I will explain the pole-skipping of higher spin operators in a higher-dimensional CFT with large N. For such a CFT in the Regge limit, we will have non-maximal quantum chaos, which is associated with the leading Regge trajectory. For generic spin J, there exists a nontrivial two-piece rule for the distribution of pole-skipping points at both positive and negative imaginary frequencies. For the pole-skipping of an individual spin J operator, it has nothing to do with the non-maximal Lyapunov exponent. However, if we combine the infinite pole-skipping points with the largest imaginary Matsubara frequencies, we will surprisingly find that they form an analytic trajectory, which gives the non-maximal Lyapunov exponent. We conjecture this property holds for generic non-maximal chaotic systems and verify this conjecture in large q SYK chain.
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