论文标题
阈值下退化参数振荡器的辐射统计
Radiation statistics of a degenerate parametric oscillator at threshold
论文作者
论文摘要
作为驱动强度的函数，退化的参数振荡器表现出不稳定的自发振荡。接近阈值，非线性以及波动对于动态的准确描述至关重要。我们研究了阈值下的退化参数振荡器发出的辐射的统计数据。对于微弱的非线性，我们可以采用准经典描述。我们确定了一个通用的liouvillian，该通用liouvillian捕获了大型光子数的相关长期动力学。我们发现累积物遵守普遍的幂律缩放是非线性的函数。 Fano因子与阈值显示最大接近但不合时宜。此外，我们预测前三个累积物的一定比例独立于系统的微观细节，并将结果连接到实验平台。
As a function of the driving strength, a degenerate parametric oscillator exhibits an instability at which spontaneous oscillations occur. Close to threshold, both the nonlinearity as well as fluctuations are vital to the accurate description of the dynamics. We study the statistics of the radiation that is emitted by the degenerate parametric oscillator at threshold. For a weak nonlinearity, we can employ a quasiclassical description. We identify a universal Liouvillian that captures the relevant long-time dynamics for large photon-numbers. We find that the cumulants obey a universal power-law scaling as a function of the nonlinearity. The Fano factor shows a maximum close, but not coinciding, with the threshold. Moreover, we predict a certain ratio of the first three cumulants to be independent of the microscopic details of the system and connect the results to experimental platforms.
