An introduction to the quantum theory of nonlinear optics
An introduction to the quantum theory of nonlinear optics
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非线性光学量子理论简介
DOI：
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发表时间：
2009
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通讯作者：
M. Hillery
中科院分区：
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作者：
M. Hillery
本文介绍了非线性介质中光学的量子理论。我们首先简要概述了非线性光学的经典理论，也就是用经典光场进行的非线性光学。然后我们讨论了场的正则形式及其量子化。这适用于对自由空间中的电磁场进行量子化。给出了电磁场非经典状态的定义，并给出了几个例子。接着简要介绍了场模背景下的纠缠。下一个任务是对非均匀线性介质中的电磁场进行量子化。在继续讨论非线性媒质中的场量子化之前，我们讨论了一些常用的量子非线性光学过程的唯象模型。然后我们量子化非色散和色散非线性介质中的场。指出并讨论了完成这一任务的最常用方法中的缺陷。一旦量子化完成，它将被用来研究参数下转换的多模理论和量子孤子的传输。
This article is provides an introduction to the quantum theory of optics in nonlinear dielectric media. We begin with a short summary of the classical theory of nonlinear optics, that is nonlinear optics done with classical fields. We then discuss the canonical formalism for fields and its quantization. This is applied to quantizing the electromagnetic field in free space. The definition of a nonclassical state of the electromagnetic field is presented, and several examples are examined. This is followed by a brief introduction to entanglement in the context of field modes. The next task is the quantization of the electromagnetic field in an inhomogeneous, linear dielectric medium. Before going on to field quantization in nonlinear media, we discuss a number of commonly employed phenomenological models for quantum nonlinear optical processes. We then quantize the field in both nondispersive and dispersive nonlinear media. Flaws in the most commonly used methods of accomplishing this task are pointed out and discussed. Once the quantization has been completed, it is used to study a multimode theory of parametric down conversion and the propagation of quantum solitons.