arXiv 2201.038422022-01-11physics.opticsquant-ph

自发参量下转换的经典模型

A classical model of spontaneous parametric down-conversion

Girish Kulkarni, Jeremy Rioux, Boris Braverman, Maria V. Chekhova, Robert. W. Boyd

备注：: 19 pages, 11 figures
发表信息：: Phys. Rev. Research 4, 033098 (2022)
DOI：: 10.1103/PhysRevResearch.4.033098

摘要：

我们将自发参量下转换（SPDC）建模为抽运场和假设的随机“真空”种子场的经典差频产生（DFG）。我们分析表明，从DFG过程中产生的场的二阶时空相关复制的信号场从SPDC。具体而言，对于低增益，该模型是一致的量子计算的信号光子的约化密度矩阵;和高增益，该模型的预测是在良好的协议与我们的实验测量的远场强度分布，轨道角动量谱，和波长谱的SPDC字段增加泵浦强度。我们进一步从理论上表明，该模型成功地捕获了二阶SU（1，1）干涉和诱导的相干效应在两个增益制度。有趣的是，该模型还正确地预测了在低增益制度的对象透射率的干涉可见度的线性缩放-一个功能，通常被视为诱导相干的非经典性的典型签名。我们的模型不仅可能导致新的基本见解的经典量子划分的背景下，SPDC和诱导的相干性，但也可以是一个有用的理论工具，许多实验和应用的基础上SPDC。

英文摘要：

We model spontaneous parametric down-conversion (SPDC) as classical difference frequency generation (DFG) of the pump field and a hypothetical stochastic "vacuum" seed field. We analytically show that the second-order spatiotemporal correlations of the field generated from the DFG process replicate those of the signal field from SPDC. Specifically, for low gain, the model is consistent with the quantum calculation of the signal photon's reduced density matrix; and for high gain, the model's predictions are in good agreement with our experimental measurements of the far-field intensity profile, orbital angular momentum spectrum, and wavelength spectrum of the SPDC field for increasing pump strengths. We further theoretically show that the model successfully captures second-order SU(1,1) interference and induced coherence effects in both gain regimes. Intriguingly, the model also correctly predicts the linear scaling of the interference visibility with object transmittance in the low-gain regime -- a feature that is often regarded as a quintessential signature of the nonclassicality of induced coherence. Our model may not only lead to novel fundamental insights into the classical-quantum divide in the context of SPDC and induced coherence, but can also be a useful theoretical tool for numerous experiments and applications based on SPDC.

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