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

Cunden, Fabio Deelan, Mezzadri, Francesco, Simm, Nick and Vivo, Pierpaolo (2016) Correlators for the Wigner–Smith time-delay matrix of chaotic cavities. Journal of Physics A: Mathematical and Theoretical, 49 (18). ISSN 1751-8113

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

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Depositing User: Nicholas Simm
Date Deposited: 13 Jun 2018 11:22
Last Modified: 13 Jun 2018 11:24

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Project NameSussex Project NumberFunderFunder Ref
UnsetUnsetLeverhulme TrustECF-2014-309