Universality in spectral statistics of "open" quantum graphs
Chaotic Dynamics
2013-08-13 v1 Mathematical Physics
math.MP
Abstract
The unitary evolution maps in closed chaotic quantum graphs are known to have universal spectral correlations, as predicted by random matrix theory. In chaotic graphs with absorption the quantum maps become non-unitary. We show that their spectral statistics exhibit universality at the "soft" edges of the spectrum. The same spectral behavior is observed in many classical non-unitary ensembles of random matrices with rotationally invariant measures.
Keywords
Cite
@article{arxiv.1308.2356,
title = {Universality in spectral statistics of "open" quantum graphs},
author = {Boris Gutkin and Vladimir Al. Osipov},
journal= {arXiv preprint arXiv:1308.2356},
year = {2013}
}
Comments
4 pages, 5 figures