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Simulating Correlations of Structured Spontaneously Down‐Converted Photon Pairs
Laser & Photonics Reviews ( IF 11.0 ) Pub Date : 2020-02-10 , DOI: 10.1002/lpor.201900321
Sivan Trajtenberg‐Mills 1 , Aviv Karnieli 1 , Noa Voloch‐Bloch 2 , Eli Megidish 2 , Hagai S. Eisenberg 2 , Ady Arie 3
Affiliation  

Introducing structure into photon pair generation via spontaneous parametric down‐conversion (SPDC) is shown to be useful for controlling the output state and exploiting new degrees of freedom for quantum technologies. This paper presents a new method for simulating first‐ and second‐order correlations of the down‐converted photons in the presence of structured pump beams and shaped nonlinear photonic crystals. This method is nonperturbative, and thus accounts for high‐order effects, and can be made very efficient using parallel computing. Experimental results of photodetection and coincidence rates in complex spatial configurations are recovered quantitatively by this method. These include SPDC in 2D nonlinear photonic crystals, as well as with structured light beams such as Laguerre Gaussian and Hermite Gaussian beams. This simulation method reveals conservation rules for the down‐converted signal and idler beams that depend on the nonlinear crystal modulation pattern and the pump shape. This scheme can facilitate the design of nonlinear crystals and pumping conditions for generating non‐classical light with pre‐defined properties.

中文翻译:

模拟结构自发下转换的光子对的相关性

通过自发参量下转换(SPDC)将结构引入光子对生成中,对于控制输出状态和为量子技术开发新的自由度非常有用。本文提出了一种新的方法,用于模拟存在结构化泵浦光束和成形非线性光子晶体时下变频光子的一阶和二阶相关性。该方法是非扰动的,因此可以解决高阶效应,并且可以使用并行计算使其非常高效。用这种方法定量恢复了复杂空间配置中的光检测和重合率的实验结果。这些包括2D非线性光子晶体中的SPDC,以及结构化光束,例如Laguerre高斯光束和Hermite高斯光束。该仿真方法揭示了下变频信号和惰轮束的守恒规则,该规则取决于非线性晶体调制模式和泵浦形状。该方案可以促进非线性晶体的设计和产生具有预定义特性的非经典光的泵浦条件。
更新日期:2020-02-10
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