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arXiv · 1601.06690

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

Fabio Deelan Cunden·Francesco Mezzadri·Nick Simm·Pierpaolo Vivo
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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 $\mathrm{Tr} Q^{\kappa}$ for arbitrary $v\geq1$ at leading order for large $N$ using techniques from the random matrix theory approach to quantum chromodynamics. We conjecture that the cumulants of the $\mathrm{Tr} Q^{\kappa}$'s are integer-valued at leading order in $N$ and include a MATHEMATICA code that computes their generating functions recursively.

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Fabio Deelan Cunden, Francesco Mezzadri, Nick Simm, Pierpaolo Vivo. 2016-01-25. Correlators for the Wigner-Smith time-delay matrix of chaotic cavities. https://doi.org/10.1088/1751-8113%2F49%2F18%2F18lt01

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