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arXiv 1909.06170quant-ph
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光子对产生中联合振幅的完全演化方程

Complete evolution equation for the joint amplitude in photon-pair generation

Jacob G. Koefoed, Karsten Rottwitt

摘要:

随着基于四波混频的光子对源的成熟,光子对特性的精确建模变得重要。与自发参量下转换不同,四波混频伴随着许多寄生效应,如非线性相位调制。目前,大多数光子对状态的建模本质上是分析性的,这限制了可以考虑的效应的数量和类型。在这项工作中,我们推导出一个完整的,双泵的光子对的联合振幅的演化方程,其中可以包括任何所需的效果。我们描述了如何有效地获得这个方程的数值解使用分裂步骤的方法。最后,我们涵盖了一些解析解,并比较了三种不同的寄生效应下的纯光子产生的两种方案。我们展示了一种方案是如何对寄生效应高度敏感的,而另一种方案是非常稳健的。

英文摘要:

As four-wave-mixing-based photon-pair sources mature, accurate modelling of the photon-pair properties becomes important. Unlike spontaneous parametric down-conversion, four-wave mixing is accompanied by a number of parasitic effects such as nonlinear phase modulation. Currently, most modelling of photon-pair states are analytic in nature, which limits the number and type of effects that can be taken into account. In this work, we derive a complete, dual-pump evolution equation for the joint amplitude of photon pairs, wherein any desired effects can be included. We describe how to efficiently obtain numerical solution to this equation using a split-step approach. Lastly, we cover a few analytical solutions and compare two schemes for pure-photon generation under three different parasitic effects. We show how one scheme is highly sensitive to parasitic effects, while the other is very robust.

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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