Correlators for the Wigner-Smith time-delay matrix of chaotic cavities

Abstract

We study the Wigner-Smith time-delay matrix Q of a ballistic quantum dot supporting N scattering channels. We compute the v-point correlators of the power traces TrQκ for arbitrary v ≥ 1 at leading order for large N using techniques from the random matrix theory approach to quantum chromodynamics. We conjecture that the cumulants of the TrQκ' s are integer-valued at leading order in N and include a MATHEMATICA code that computes their generating functions recursively.