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). 18LT01. doi:10.1088/1751-8113/49/18/18LT01

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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 $\mathrm{Tr}{Q}^{\kappa }$ for arbitrary $v\geqslant 1$ at leading order for large N using techniques from the random matrix theory approach to quantum chromodynamics. We conjecture that the cumulants of the $\mathrm{Tr}{Q}^{\kappa }$'s are integer-valued at leading order in N and include a MATHEMATICA code that computes their generating functions recursively.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Mesoscopic phenomena (Physics) , Transport theory , Chaotic behavior in systems
Journal or Publication Title:	Journal of Physics A: Mathematical and Theoretical
Publisher:	IOP Publishing Ltd
ISSN:	1751-8113
Official Date:	24 March 2016
Dates:	Date Event 24 March 2016 Published 8 March 2016 Accepted
Volume:	49
Number:	18
Article Number:	18LT01
DOI:	10.1088/1751-8113/49/18/18LT01
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	Engineering and Physical Sciences Research Council (EPSRC), Gruppo nazionale di fisica matematica (Italy), Leverhulme Trust (LT)
Grant number:	EP/L010305/1, EP/L015854/1 (EPSRC), ECF-2014-309 (LT)

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