Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance
Chaotic Dynamics
2016-11-03 v1
Abstract
We present experimental studies of the power spectrum and other fluctuation properties in the spectra of microwave networks simulating chaotic quantum graphs with violated time reversal in- variance. On the basis of our data sets we demonstrate that the power spectrum in combination with other long-range and also short-range spectral fluctuations provides a powerful tool for the identification of the symmetries and the determination of the fraction of missing levels. Such a pro- cedure is indispensable for the evaluation of the fluctuation properties in the spectra of real physical systems like, e.g., nuclei or molecules, where one has to deal with the problem of missing levels.
Keywords
Cite
@article{arxiv.1609.06073,
title = {Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance},
author = {Malgorzata Bialous and Vitalii Yunko and Szymon Bauch and Michal Lawniczak and Barbara Dietz and Leszek Sirko},
journal= {arXiv preprint arXiv:1609.06073},
year = {2016}
}