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Bayesian analysis of level-spacing distributions for chaotic systems with broken symmetry
Faculty
Science
Year:
2002
Type of Publication:
Article
Pages:
Authors:
SIMBEL, MH, Abul-Magd, AY, Harney, HL, Dembowski, C
DOI:
10.1103/PhysRevE.65.056221
Journal:
PHYSICAL REVIEW E AMER PHYSICAL SOC
Volume:
65
Research Area:
Physics
ISSN
ISI:000176552500070
Keywords :
Bayesian analysis , level-spacing distributions , chaotic systems
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.
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