论文标题
弧形光法
Arcsine Laws of Light
论文作者
论文摘要
我们证明，连贯驱动的谐振器中的光听从莱维的Arcsine法律，这是极值统计的基石。这种行为渐近地出现在时间整合的传输强度，这是每个光电探测器测量的重要数量。此外，随着整合时间的增加，我们还表明了与Arcsine定律的通用代数收敛，与在光场上施加的保守和非保守力之间的平衡无关。通过数值模拟，我们验证了Arcsine定律也被光场四个统治遵守，在Kerr非线性谐振器中，支持非高斯光线。我们的结果与相干驱动的谐振器（例如，光学，微波光子学和声学）的基本研究和技术应用有关，这又为探测新的制度和具有内存系统的新兴统计结构的观点。
We demonstrate that light in a coherently driven resonator obeys Lévy's arcsine laws -- a cornerstone of extreme value statistics. This behavior emerges asymptotically in the time-integrated transmitted intensity, an important quantity which is measured by every photodetector. We furthermore demonstrate a universal algebraic convergence to the arcsine laws as the integration time increases, independent of the balance between conservative and non-conservative forces exerted on the light field. Through numerical simulations we verify that the arcsine laws are also obeyed by the light field quadratures, and in a Kerr nonlinear resonator supporting non-Gaussian states of light. Our results are relevant to fundamental studies and technological applications of coherently driven resonators (in e.g., optics, microwave photonics, and acoustics), which in turn open up perspectives for probing emergent statistical structure in new regimes and in systems with memory.
