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

Fabio Deelan Cunden
Francesco Mezzadri
Nick Simm
Pierpaolo Vivo
Journal / Anthology

Journal of Phsyics A-Mathematical and Theoretical
Year: 2016
Volume: 49
Issue: 18

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 TrQk 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 TrQkʼs are integer-valued at leading order in N and include a MATHEMATICA code that computes their generating functions recursively.

*Science > Physics