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arXiv · 2104.02572

Missing level statistics in a dissipative microwave resonator with partially violated time-reversal invariance

Malgorzata Bialous·Barbara Dietz·Leszek Sirko
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Abstract

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.

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Malgorzata Bialous, Barbara Dietz, Leszek Sirko. 2021-04-01. Missing level statistics in a dissipative microwave resonator with partially violated time-reversal invariance. https://doi.org/10.1103/physreve.103.052204

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