论文标题
在吸收存在下，具有符号对称性的微波网络的Wigner反应基质的分布
Distributions of the Wigner reaction matrix for microwave networks with symplectic symmetry in the presence of absorption
论文作者
论文摘要
我们报告了反射系数分布的实验研究，以及使用带有互合式对称性和不同吸收大小的开放微波网络的Wigner反应（K）矩阵的虚构和真实部分。将结果与随机矩阵理论（RMT）框架内的单通道散射情况得出的分析预测进行了比较。此外，我们基于开放量子 - 偶然系统的散射方法和k矩阵以及s-matrix元素的两点相关函数进行了蒙特卡洛模拟。分析结果和蒙特卡洛模拟取决于吸收的大小。为了验证它们，我们用微波网络进行了各种吸收强度的实验。我们表明，在相应的封闭量子图的光谱特性中观察到的RMT预测的偏差，并归因于非近亲短期循环轨道的存在，对反射系数的分布以及与相应的量子图相关的反射系数以及K和S矩阵的分布没有任何可见影响。
We report on experimental studies of the distribution of the reflection coefficients, and the imaginary and real parts of Wigner's reaction (K) matrix employing open microwave networks with symplectic symmetry and varying size of absorption. The results are compared to analytical predictions derived for the single-channel scattering case within the framework of random matrix theory (RMT). Furthermore, we performed Monte Carlo simulations based on the Heidelberg approach for the scattering (S) and K matrix of open quantum-chaotic systems and the two-point correlation function of the S-matrix elements. The analytical results and the Monte Carlo simulations depend on the size of absorption. To verify them, we performed experiments with microwave networks for various absorption strengths. We show that deviations from RMT predictions observed in the spectral properties of the corresponding closed quantum graph, and attributed to the presence of nonuniversal short periodic orbits, does not have any visible effects on the distributions of the reflection coefficients and the K and S matrices associated with the corresponding open quantum graph.
