标题： 通过贝叶斯推断分析混沌量子系统中的对称性破缺 显示英文标题

标题： Analyzing symmetry breaking within a chaotic quantum system via Bayesian inference

摘要： 贝叶斯推断被应用于两个耦合微波弹道的能级涨落，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。 数方差被用来作为耦合的函数来量化能级涨落，并构建数据的条件概率分布。 耦合参数的先验分布通过对后验分布熵的不变性论证得到。 显示英文摘要

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.