Normal ordering the squeeze operator by generalized Wick theorem

TL;DR

This paper presents a method to normal order the squeeze operator using a generalized Wick theorem, simplifying calculations in quantum optics related to squeezed light.

Contribution

It extends the Wick theorem to general orderings of q and p, providing a straightforward approach to normal ordering the squeeze operator.

Findings

Derived a generalized Wick theorem for q and p

Simplified normal ordering of the squeeze operator

Facilitated calculations in quantum optics

Abstract

In 1988, I translated a popular article 'Squeezed light' for the Hungarian mutation of Scientific American. How shall we say 'squeezed' in our language from now on? At the time, Janszky was already Hungary's top quantum optics theorist, he excelled in squeezed light research as well, so I did not want to decide without asking him. He voted for the word 'pr\'eselt' [prayshalt], and it worked,became standard in our talking and writing about squeezed light. To his memory, let me dedicate an easy route (two pages) to normal ordering the squeeze operator, based on my recent extension of the Wick theorem for general orderings of q and p.