Degenerate Parametric Amplification of Squeezed Photons: Explicit Solutions, Statistics, Means and Variances

TL;DR

This paper derives explicit solutions and analyzes the photon statistics and Wigner functions for degenerate parametric oscillators with squeezed inputs, providing detailed insights into their quantum state evolution.

Contribution

It presents explicit solutions for degenerate parametric oscillators with multiparameter squeezed inputs, including photon statistics and Wigner functions, advancing understanding of their quantum dynamics.

Findings

Explicit solutions for oscillator models with squeezed inputs.

Detailed analysis of photon statistics and Wigner functions.

Insights into the time evolution of quantum states.

Abstract

In the Schroedinger picture, we find explicit solutions for two models of degenerate parametric oscillators in the case of multiparameter squeezed input photons. The corresponding photon statistics and Wigner's function are also derived in coordinate representation. Their time evolution is investigated in detail. The unitary transformation is briefly discussed too.