Correlators for the Wigner–Smith time-delay matrix of chaotic cavities -- from Wolfram Library Archive

Title

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

Authors

Fabio Deelan Cunden

Francesco Mezzadri

Nick Simm

Pierpaolo Vivo

Journal / Anthology

Journal of Phsyics A-Mathematical and Theoretical

Year:

2016

Volume:

Issue:

Description

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.

Subject

Science > Physics

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