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Large-N expansion for the time-delay matrix of ballistic chaotic cavities

Research output: Contribution to journalArticle

Fabio Deelan Cunden, Francesco Mezzadri, Nick Simm, Pierpaolo Vivo

Original languageEnglish
Article number111901
JournalJOURNAL OF MATHEMATICAL PHYSICS
Volume57
Issue number11
DOIs
Publication statusPublished - 1 Nov 2016

King's Authors

Abstract

We consider the 1/N-expansion of the moments of the proper delay times for a ballistic chaotic cavity supporting N scattering channels. In the random matrix approach, these moments correspond to traces of negative powers of Wishart matrices. For systems with and without broken time reversal symmetry (Dyson indices β = 1 and β = 2), we obtain a recursion relation, which efficiently generates the coefficients of the 1/N-expansion of the moments. The integrality of these coefficients and their possible diagrammatic interpretation is discussed.

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