Even and odd coherent states (Schroedinger cat states) for multimode parametric systems

TL;DR

This paper constructs multimode Schrödinger cat states for parametric oscillators, analyzes their photon distribution, squeezing conditions, and inter-mode correlations, providing explicit mathematical descriptions and insights into their quantum properties.

Contribution

It introduces a method to explicitly construct and analyze multimode Schrödinger cat states in parametric systems, including photon distributions and squeezing conditions.

Findings

Photon distribution functions expressed via multivariable Hermite polynomials

Conditions for squeezing in multimode cat states formulated

Inter-mode correlations studied and characterized

Abstract

The multimode even and odd coherent states (multimode Schroedinger cat states) are constructed for polymode parametric oscillators of the electromagnetic field. The evolution of the photon distribution function is evaluated explicitly. The distribution function is expressed in terms of the multivariable Hermite polynomials, its means and dispersions are calculated. The conditions for the existence of squeezing are formulated. The correlations among the different modes of Schroedinger cat states are studied.