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.

HEP - phenomenologyHEP - theorymathematical physics

Audience: researchers in the topic

NHETC Seminar

Series comments: Description: Weekly research seminar of the NHETC at Rutgers University

Livestream link is available on the webpage.