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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 TrQK's are integer-valued at leading order in N and include a MATHEMATICA code that computes their generating functions recursively.
|Number of pages||20|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Early online date||24 Mar 2016|
|Publication status||Published - 6 May 2016|
1/05/14 → 31/10/17