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Bayesian analysis of level-spacing distributions for chaotic systems with broken symmetry

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Abul-Magd,  A. Y.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Dembowski,  C.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Harney,  H. L.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Simbel,  M. H.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Citation

Abul-Magd, A. Y., Dembowski, C., Harney, H. L., & Simbel, M. H. (2002). Bayesian analysis of level-spacing distributions for chaotic systems with broken symmetry. Physical Review E, 65(5): 056221, pp. 056221-056221.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-8356-8
Abstract
Bayesian inference is applied to the nearest-neighbor and next- nearest-neighbor spacing distributions of levels of coupled superconducting microwave billiards. The weakly coupled resonators are equivalent to a quantum system with a partially broken symmetry. The coupling parameters are obtained with help from Bayes's theorem. This procedure does not require the introduction of a set of bins. The results are more accurate than those obtained from other bin-independent procedures.