Quantum properties of the parametric amplifier with and without pumping field fluctuations

TL;DR

This paper investigates the quantum properties of a parametric amplifier with fluctuating and non-fluctuating pumping fields, revealing effects like photon antibunching, state modification, and photon-number distribution revivals.

Contribution

It introduces analysis of the impact of pumping fluctuations on quantum states and photon statistics, including the generation of new states and collapse-revival phenomena.

Findings

Enhanced photon antibunching under certain conditions

Generation of modified squeezed vacuum and thermal states

Collapse and revival of photon-number distribution

Abstract

The parametric amplifier with and without the pumping fluctuations of coupling function is considered when the fields are initially prepared in coherent light. The pumping fluctuations are assumed to be normally distributed with time-dependent variance. The effects of antibunching and anticorrelation of photons on the photon distribution, correlation between modes and factorial moments are demonstrated. A possible enhancement of photon antibunching for certain values of initial mean photon numbers is shown and discussed. We have shown also that new states (called modified squeezed vacuum states or even thermal states) can be generated from such an interaction. Further, we have demonstrated that the sum photon-number distribution can exhibit collapses and revivals in the photon-number domain somewhat similar to those known in the Jaynes-Cummings model.