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

• URL: http://arxiv.org/abs/2104.02572v1
• Date: Thu, 1 Apr 2021 09:39:42 GMT
• Title: Missing level statistics in a dissipative microwave resonator with partially violated time-reversal invariance
• Authors: Malgorzata Bialous, Barbara Dietz and Leszek Sirko
• Abstract summary: We report on the experimental investigation of the fluctuation properties in the resonance frequency spectra of a flat resonator. The cavity has the shape of a quarter bowtie billiard of which the corresponding classical dynamics is chaotic. We derive analytical expressions for statistical measures of short- and long-range correlations in such incomplete spectra.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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