半经典拉盖尔-高斯模的操纵：一个模型实例
Manipulation of Semiclassical Laguerre-Gaussian Modes: a Model Case
摘要：
我们继续从半经典的角度研究卡尔沃和皮康算符在量子通信中对光子态的操纵。在以前的论文中，我们定义了一个一维模型算子，并在研究Calvo和Picon的全二维算子之前对其进行了分析研究。在本文中，我们展示了如何一维算子也可能是有用的实验模型，因为它允许操作的二维拉盖尔-高斯模式的强度分布（在物理空间中）的拉盖尔-高斯模式，然后近似流沿椭圆曲线之前研究。由于Wigner变换是Laguerre-Gaussian模研究的基础，我们对半经典Wigner变换进行了一个稍微扩展和改进的处理，这在前面的文章中只是简单地提到。
英文摘要：
We continue the study, from a semiclassical viewpoint, of Calvo and Picon's operators, as manipulating photon states in quantum communication. In a previous paper, we defined a one-dimensional model operator and studied it analytically before moving on to Calvo and Picon's full two-dimensional operators. In the present paper, we show how the one-dimensional operator may also be useful as an experimental model, since it allows manipulations of two-dimensional Laguerre-Gaussian modes; the intensity distributions (in physical space) of the Laguerre-Gaussian modes then approximately flow along the elliptic curves studied earlier. Since the Wigner transform is fundamental in the study of Laguerre-Gaussian modes, we give a slightly expanded and improved treatment of the semiclassical Wigner transform, which was only briefly mentioned in the previous paper.
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