混沌量子系统对称性破缺的贝叶斯推断分析
Analyzing symmetry breaking within a chaotic quantum system via Bayesian inference
摘要：
贝叶斯推断应用于两个耦合微波台球的水平波动，以提取耦合强度。耦合谐振器提供了一个包含两个耦合对称类能级的混沌量子系统的模型。的数量方差被用来量化的耦合的函数的电平波动，并构建数据的条件概率分布。耦合参数的先验分布是从后验分布的熵上的不变性参数获得的。
英文摘要：
Bayesian inference is applied to the level fluctuations of two coupled microwave billiards in order to extract the coupling strength. The coupled resonators provide a model of a chaotic quantum system containing two coupled symmetry classes of levels. The number variance is used to quantify the level fluctuations as a function of the coupling and to construct the conditional probability distribution of the data. The prior distribution of the coupling parameter is obtained from an invariance argument on the entropy of the posterior distribution.
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