Superposed Coherent and Squeezed Light

TL;DR

This paper investigates the properties of superposed coherent and squeezed light, proposing a new analysis method that yields physically consistent results for mean photon number and quadrature variance, and explores quadrature squeezing behavior.

Contribution

Introduces a novel analysis approach based on superposing Q functions to accurately determine properties of superposed light.

Findings

The new method yields physically consistent mean photon number and quadrature variance.

Quadrature squeezing of the superposed output matches that of the superposed cavity light.

The analysis clarifies the properties of superposed coherent and squeezed states.

Abstract

We first calculate the mean photon number and quadrature variance of superposed coherent and squeezed light, following a procedure of analysis based on combining the Hamiltonians and using the usual definition for the quadrature variance of superposed light beams. This procedure of analysis leads to physically unjustifiable mean photon number of the coherent light and quadrature variance of the superposed light. We then determine both of these properties employing a procedure of analysis based on superposing the Q functions and applying a slightly modified definition for the quadrature variance of a pair of superposed light beams. We find the expected mean photon number of the coherent light and the quadrature variance of the superposed light. Moreover, the quadrature squeezing of the superposed output light turns out to be equal to that of the superposed cavity light.