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

Fabio Cunden, Francesco Mezzadri, Nicholas Simm, Pierpaolo Vivo

Research output: Contribution to journalArticle (Academic Journal)peer-review

12 Citations (Scopus)
291 Downloads (Pure)

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.
Original languageEnglish
Article number111901
Number of pages16
JournalJournal of Mathematical Physics
Volume57
Issue number11
Early online date4 Nov 2016
DOIs
Publication statusPublished - Nov 2016

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