Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance
arXiv:1609.06073 · doi:10.1103/PhysRevLett.117.144101
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.
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- Deviations from Poisson statistics in the spectra of free rectangular thin plates
- Quantum graphs and microwave networks as narrow band filters for quantum and microwave devices
- Application of topological resonances in experimental investigation of a Fermi golden rule in microwave networks
- Investigation of the enhancement factor in the regime of semi-Poisson statistics in a singular microwave cavity
- Accuracy and precision of the estimation of the number of missing levels in chaotic spectra using long-range correlations
- Scarring in open chaotic systems: The local density of states