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Correlators for the Wigner–Smith time-delay matrix of chaotic cavities
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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.
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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 | ||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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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: |
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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) |
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