The Library
Correlators for the Wigner–Smith time-delay matrix of chaotic cavities
Tools
Tools
Tools
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 ISSN 1751-8113.
![[img]](https://wrap.warwick.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
WRAP_a_49_18_18LT01.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution. Download (887Kb) |
Official URL: http://dx.doi.org/10.1088/1751-8113/49/18/18LT01
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, Engineering and Medicine > 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: |
|
||||||
| 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 (Creative Commons) | ||||||
| Date of first compliant deposit: | 3 October 2016 | ||||||
| Date of first compliant Open Access: | 3 October 2016 | ||||||
| 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) |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
