Semiclassical Wigner distribution for two-mode entangled state generated by an optical parametric oscillator

TL;DR

This paper derives a steady-state phase space distribution for a two-mode entangled state generated by an optical parametric oscillator, providing insights into its quantum properties across all operating regimes.

Contribution

It presents a novel derivation of the steady state Wigner distribution for a nondegenerate optical parametric oscillator in the truncated Wigner representation.

Findings

Distribution is non-Gaussian above threshold

Provides a comprehensive phase space view of the entangled state

Applicable in all operating regimes of the OPO

Abstract

We derive the steady state solution of the Fokker-Planck equation that describes the dynamics of the nondegenerate optical parametric oscillator in the truncated Wigner representation of the density operator. The adiabatic limit of strong pump damping is assumed. This phase space image provides a clear view of the intracavity two-mode entangled state valid in all operating regimes of the OPO. A nongaussian distribution is obtained for the above threshold solution.