**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.

Download or read it online for free here:

**Download link**

(770KB, PDF)

## Similar books

**Fundamentals of Nonlinear Optics**

by

**Sergey A. Ponomarenko**-

**Dalhousie University**

From the table of contents: Plane waves in linear optical media; Beams and pulses in linear optics; Nonlinear optics (Anharmonic oscillator model, Formal properties of nonlinear optical susceptibilities, Nonlinear wave equation approach,...).

(

**9589**views)

**Nonlinear Wave Equations**

by

**Heinz-Jürgen Schmidt**-

**University of Osnabrück**

What are the physical origins of nonlinearity? We will have to give different answers depending on the case under consideration. This text aims at providing a general physical background rather than dealing with the details of the various projects.

(

**11553**views)

**Nonlinear Optics**

by

**M. Wohlecke, K. Betzler, M. Imlau**-

**University of Osnabruck**

These lecture notes cover some basic topics in nonlinear optics, they accompany lectures held for the Ph. D. students. The first part gives a short introduction to the physics of crystals and the treatment of symmetry-dependent properties.

(

**10041**views)

**Quantum Optics and Nonlinear Optics**

by

**Karl-Peter Marzlin**-

**University of Calgary**

These notes cover the fundamentals of quantum and nonlinear optics. The foundations of quantum optics include quantization of the electromagnetic field and many-particle theories, interaction between atoms and photons, few-level models for atoms...

(

**10832**views)