Eur. Phys. J. D 46, 179-193 (2008)
https://doi.org/10.1140/epjd/e2007-00290-6

Quantum state of an injected TROPO above threshold: purity, Glauber function and photon number distribution

¹ V.A. Fock Physics Institute, St. Petersburg State University, 198504 Stary Petershof, St. Petersburg, Russia
² Laboratoire Kastler Brossel, Université Pierre et Marie-Curie-Paris 6, ENS, CNRS, 4 place Jussieu, 75005 Paris, France

Corresponding author: ^a nicolas.treps@spectro.jussieu.fr

Received: 11 July 2007
Published online: 17 October 2007

Abstract

In this paper, we investigate several properties of the full signal-idler-pump mode quantum state generated by a triply resonant non-degenerate Optical Parametric Oscillator operating above threshold, with an injected wave on the signal and idler modes in order to lock the phase diffusion process. We determine and discuss the spectral purity of this state, which turns out not to be always equal to 1 even though the three interacting modes have been taken into account at the quantum level. We have seen that the purity is essentially dependent on the weak intensity of the injected light and on an asymmetry of the synchronization. We then derive the expression of its total three-mode Glauber P-function, and calculate the joint signal-idler photon number probability distribution and investigate their dependence on the injection.