Quantum analysis of the nondegenerate optical parametric oscillator with injected signal

Abstract

In this paper we study the nondegenerate optical parametric oscillator with injected signal, both analytically and numerically. We develop a perturbation approach which allows us to find approximate analytical solutions, starting from the full equations of motion in the positive Prepresentation. We demonstrate the regimes of validity of our approximations via comparison with the full stochastic results. We find that, with reasonably low levels of injected signal, the system allows for demonstrations of quantum entanglement and the Einstein-Podolsky-Rosen paradox. In contrast to the normal optical parametric oscillator operating below threshold, these features are demonstrated with relatively intense fields.

Squeezing properties of a two-transverse-mode degenerate optical parametric oscillator with an injected signal

“…This is the problem we treat in detail in the present article. Our work is closely related to that of Protsenko et al [34], who considered a 1DOPO-IS (see also [35,36]). Indeed, our model contains, as a limit, the model studied in [34], but we shall see that the existence of a second signal mode substantially modifies the properties of the system.…”

Robust generation of bright two-color entangled optical beams from a phase-insensitive optical parametric amplifier

“…The observed quantum correlations for amplitude quadrature difference and phase quadrature sum are 3.30 dB and 3.35 dB, respectively, at analysis frequency of 1.37 MHz, which satisfy the entanglement criterion of Duan et al 16 In Ref. 15, the authors analyzed the effect of injected signal field on the classical and quantum properties of the nondegenerate OPO, through perturbation approach starting from the full equations of motion in the positive-P representation. For a perfect cavity with no intracavity linear losses, the external squeezing spectra for the combined quadratures can be given by 15…”

“…This raises a natural question: can the OPA schemes work reasonably well while eliminate the necessity of the phase locking? Actually, this question has been answered by Coutinho dos Santos et al, 15 and it was proposed that OPAs with reasonably low levels of injected signal field (without idler field injected) allow for demonstrations of quantum entanglement and the Einstein-Podolsky-Rosen paradox. Because only the signal field is used as the injected field, the OPA is essentially phase insensitive.…”

Cauchy-Schwarz characterization of tripartite quantum correlations in an optical parametric oscillator

“…We now expand these variables in terms of the dimensionless coupling constant [23,24] x 0 = ∞ n=0 g n x (n)…”