Quantum phase properties of nonlinear optical phenomena

TL;DR

This paper reviews quantum-phase descriptions of optical fields generated in nonlinear optical processes, emphasizing practical applicability of phase formalisms like Pegg-Barnett and s-parametrized distributions.

Contribution

It compares and discusses two related quantum phase formalisms for describing optical fields in nonlinear optics, focusing on their practical use.

Findings

Comparison of Pegg-Barnett and s-parametrized phase formalisms

Application to real nonlinear optical fields

Insights into phase properties in quantum optics

Abstract

We review some quantum-phase descriptions of optical fields. We focus on real fields that can be generated in practice in various nonlinear optical processes. Thus, we rather avoid discussions of phase formalisms as such and try to exploit their practical applicability in the description of optical fields. In the description of the phase properties we use two different, though related formalisms: the Pegg-Barnett Hermitian phase formalism and the formalism based on $s$-parametrized phase distributions.