论文标题
散射元素和Wigner的$ \ hat k $矩阵的分布的实验研究
Experimental investigation of distributions of the off-diagonal elements of the scattering and the Wigner's $\hat K$ matrices for networks with broken time reversal invariance
论文作者
论文摘要
我们对散射矩阵$ \ hat S $的实际和虚构元素的真实和虚构部分的分布以及Wigner的反应$ \ hat k $ -matrix的开放微波网络（$ t $）反向不变性的开放微波网络的分布进行了广泛的实验研究。应用微波法拉第循环器，以打破$ t $ invariance。比较散射矩阵$ \ hat s $的实际和虚构部分的实验分布与超对称性随机矩阵理论的理论预测[A. A. Nock，S.Kumar，H.-J。 Sommers和T. Guhr，《物理年鉴》 {\ bf 342}，103-132（2014）]。此外，我们表明，实验结果与对Wigner反应$ \ hat k $ -matrix的实际和假想部分的分布的最新预测非常吻合，这是非常吻合的。 B. Fedeli和Y. V. Fyodorov，J。Phys。答：数学。理论。 {\ bf 53}，165701（2020）]。这两种理论都将损失作为可调参数，因此非常适合实验验证。
We present an extensive experimental study of the distributions of the real and imaginary parts of the off-diagonal elements of the scattering matrix $\hat S$ and the Wigner's reaction $\hat K$-matrix for open microwave networks with broken time ($T$) reversal invariance. Microwave Faraday circulators were applied in order to break $T$-invariance. The experimental distributions of the real and imaginary parts of the off-diagonal entries of the scattering matrix $\hat S$ are compared with the theoretical predictions from the supersymmetry random matrix theory [A. Nock, S. Kumar, H.-J. Sommers, and T. Guhr, Annals of Physics {\bf 342}, 103-132 (2014)]. Furthermore, we show that the experimental results are in very good agreement with the recent predictions for the distributions of the real and imaginary parts of the off-diagonal elements of the Wigner's reaction $\hat K$-matrix obtained within the framework of the Gaussian unitary ensemble of random matrix theory (RMT) [S. B. Fedeli and Y. V. Fyodorov, J. Phys. A: Math. Theor. {\bf 53}, 165701 (2020)]. Both theories include losses as tunable parameters and are therefore well adapted to the experimental verification.
