Characteristic function and quasi-probability distribution of photons and of squeezed coherent photons

TL;DR

This paper explores the characteristic and quasidistribution functions of squeezed coherent photons in thermal states, providing methods to compute their mean number and variance through parametric transformations.

Contribution

It introduces a framework for calculating properties of squeezed coherent photons in thermal states using characteristic functions and parametric transformations.

Findings

Derived expressions for mean photon number and variance.

Showed how to transform properties from pure to thermal states.

Provided analytical tools for quantum state analysis.

Abstract

We consider the p-ordered characteristic function and its Fourier transform, the quasidistribution function, of squeezed coherent photons in a thermal state of photons and calculate the mean number and number variance of squeezed coherent photons. All the properties calculated from the previous characteristic function can be used to calculate said properties for photons in a thermal state of squeezed coherent photons via a parametric transformation. In particular, one can obtain the mean number and number variance via the parametric transformation.