arXiv 2301.072142023-01-17quant-phnlin.CD

奇异微波腔中半泊松统计增强因子的研究

Investigation of the enhancement factor in the regime of semi-Poisson statistics in a singular microwave cavity

Małgorzata Białous, Leszek Sirko

发表信息：: Phys. Rev. E 106, 064208 (2022)
DOI：: 10.1103/PhysRevE.106.064208

摘要：

我们研究了奇异台球的性质，即量子台球包含一个点状（零程）微扰。实验模拟了一个奇异台球，通过矩形微波平板谐振器耦合到微波功率通过线天线作为奇异散射。通过短程等离子体模型定量估计偏离规律性，其中参数$η$分别取泊松和半泊松统计量的值$1$和$2$。我们表明，在半泊松统计制度的实验功率谱和第二最近邻间距分布$P(2,s)$是在很好的协议与他们的理论预测。此外，两端口散射矩阵的测量使我们能够实验评估的增强因子$F(γ^{tot})$的制度的半泊松统计作为总吸收因子$γ^{tot}$的函数。实验结果与本文中评价的$F(γ^{tot})$的解析式进行了比较。实验结果与理论分析符合较好。

英文摘要：

We investigated properties of a singular billiard, that is, a quantum billiard which contains a pointlike (zero-range) perturbation. A singular billiard was simulated experimentally by a rectangular microwave flat resonator coupled to microwave power via wire antennas which act as singular scatterers. The departure from regularity was quantitatively estimated by the short-range plasma model in which the parameter $η$ takes the values $1$ and $2$ for the Poisson and semi-Poisson statistics, respectively. We show that in the regime of semi-Poisson statistics the experimental power spectrum and the second nearest-neighbor spacing distribution $P(2,s)$ are in good agreement with their theoretical predictions. Furthermore, the measurement of the two-port scattering matrix allowed us to evaluate experimentally the enhancement factor $F(γ^{tot})$ in the regime of the semi-Poisson statistics as a function of the total absorption factor $γ^{tot}$. The experimental results were compared with the analytical formula for $F(γ^{tot})$ evaluated in this article. The agreement between the experiment and theory is good.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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