Squeezing in a 2-D generalized oscillator

TL;DR

This paper investigates two-mode squeezing in a 2-D generalized oscillator with time-dependent parameters, deriving analytic wavefunctions and photon distributions using Hermite polynomials.

Contribution

It provides explicit analytic expressions for wavefunctions and photon distributions in a 2-D oscillator with time-dependent parameters, advancing understanding of squeezing phenomena.

Findings

Derived dispersion matrix for the oscillator

Obtained analytic wavefunctions using Hermite polynomials

Analyzed photon distribution characteristics

Abstract

A two-dimensional generalized oscillator with time-dependent parameters is considered to study the two-mode squeezing phenomena. Specific choices of the parameters are used to determine the dispersion matrix and analytic expressions, in terms of standard hermite polynomials, of the wavefunctions and photon distributions. (to be publish in the Third Workshop on Squeezed States and Uncertainty Relations, Baltimore, USA, (August 1993))