University of Sussex
Browse
1.4966642.pdf (478.67 kB)

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

Download (478.67 kB)
journal contribution
posted on 2023-06-09, 13:20 authored by Fabio Deelan Cunden, Francesco Mezzadri, Nicholas SimmNicholas Simm, Pierpaolo Vivo
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 ß=1 and ß=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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Journal of Mathematical Physics

ISSN

0022-2488

Publisher

American Institute of Physics

Issue

11901

Volume

57

Page range

1-16

Department affiliated with

  • Mathematics Publications

Research groups affiliated with

  • Probability and Statistics Research Group Publications
  • Mathematical Physics Group Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2018-05-17

First Open Access (FOA) Date

2018-05-17

First Compliant Deposit (FCD) Date

2018-05-17

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC