Statistics of time delay in quantum chaotic transport
Abstract
We study the statistical properties of the time delay matrix in the context of quantum transport through a chaotic cavity, in the absence of time-reversal invariance. First, we approach the problem from the point of view of random matrix theory, and obtain exact results that provide the average value of any polynomial function of . We then consider the problem from the point of view of the semiclassical approximation, obtaining the entire perturbation series for some energy-dependent correlation functions. Using these correlation functions, we show agreement between the random matrix and the semiclassical approaches for several statistical properties.
Keywords
Cite
@article{arxiv.1408.1669,
title = {Statistics of time delay in quantum chaotic transport},
author = {Marcel Novaes},
journal= {arXiv preprint arXiv:1408.1669},
year = {2015}
}
Comments
20 pages, 3 figures. This paper has been split in two parts upon publication, each part containing different results, in order to make the presentation more consistent. First part is arXiv:1507.05524, second part is arXiv:1507.05526