Title: Non-Gaussian Photon Correlations in Weakly Coupled Atomic Ensembles Show Chinese title

Title: 弱耦合原子系综中的非高斯光子关联

Abstract: We develop a scattering theory formalism and use it to predict that a resonantly driven atomic ensemble weakly coupled to an optical mode can generate light with non-Gaussian correlations. Our approach -- based on a perturbative diagrammatic expansion of multi-photon interactions -- shows that photon-photon interaction mediated by the emitters causes the transmitted light to have a non-vanishing connected third-order correlation function $g_c^{(3)}$. We explain the temporal pattern of $g_c^{(3)}$ using the interaction processes in our diagrammatic expansion. A quantitative comparison with cascaded master equation simulations for small ensembles with optical depth $\mathrm{OD}\leq 2$ confirms that the perturbative results remain accurate across experimentally relevant optical depths and for drive strengths large enough to make the predicted non-Gaussian signatures detectable. We anticipate that state-of-the-art nanofibre-coupled atomic ensembles can experimentally demonstrate our predictions. Show Chinese abstract

Abstract: 我们开发了一种散射理论形式，并利用它预测，被共振驱动的原子系综与光模式弱耦合时可以产生具有非高斯关联的光。 我们的方法——基于多光子相互作用的微扰图解展开——表明，由发射器介导的光子-光子相互作用导致透射光具有非零的连接三阶相关函数$g_c^{(3)}$。 我们使用图解展开中的相互作用过程解释了$g_c^{(3)}$的时间模式。 与小系综在光学深度$\mathrm{OD}\leq 2$下的级联主方程模拟进行定量比较，确认微扰结果在实验相关的光学深度范围内以及驱动强度足够大以使预测的非高斯特征可检测时仍然准确。 我们预计，最先进的纳米纤维耦合原子系综可以在实验中展示我们的预测。