We report on the experimental investigation of the fluctuation properties in the resonance frequency spectra of a flat resonator simulating a dissipative quantum billiard subject to partial time-reversal invariance violation (TIV) which is induced by two magnetized ferrites. The cavity has the shape of a quarter bowtie billiard of which the corresponding classical dynamics is chaotic. Due to dissipation it is impossible to identify a complete list of resonance frequencies. Based on a random-matrix theory approach we derive analytical expressions for statistical measures of short- and long-range correlations in such incomplete spectra interpolating between the cases of preserved time-reversal invariance and complete TIV and demonstrate their applicability to the experimental spectra.
@article{arxiv.2104.02572,
title = {Missing level statistics in a dissipative microwave resonator with partially violated time-reversal invariance},
author = {Malgorzata Bialous and Barbara Dietz and Leszek Sirko},
journal= {arXiv preprint arXiv:2104.02572},
year = {2021}
}