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

PDF - Published Version Available under License Creative Commons Attribution. Download (1MB)

Abstract

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
URI:	http://srodev.sussex.ac.uk/id/eprint/76462

View download statistics for this item

📧 Request an update