**An Introduction to the Quantum Theory of Nonlinear Optics**

by Mark Hillery

**Publisher**: arXiv 2009**Number of pages**: 80

**Description**:

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.

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