利用半经典理论方法计算了运转于阈值以上的非简并光学参量振荡腔输出信号场、闲置场及反射抽运场的关联特性.根据vrdn Loock等提出的连续变量多组分纠缠判据,计算结果表明,常温下这三个光场的正交振幅分量与正交位相分量之间存在三组分量子关联,得到了三色三组分纠缠态光场.数值计算了关联噪声对参量振荡腔物理参数的依赖关系,找出了产生三色三组分纠缠态产生的最佳运转条件,为连续变量多组分纠缠态光场产生系统的设计提供了直接参考.
The quantum correlations between the output signal,the output idler and the reflected pump fields generated by non-degenerate optical parametric oscillator operating above the oscillation threshold are theoretically calculated with the semi-classical formulae. According to the multipartite entanglement criteria for the continuous variables,proposed by P.van Loock and A.Furusawa,the calculated results prove the existence of the quantum correlations between the amplitude and the phase quadrature for the three optical fields,i.e.they form a tripartite entangled state.We numerically calculate the dependence of the entanglement on the physical parameters of the optical oscillator and find the optimum operating conditions of the oscillator to produce the three-color tripartite entangled state,which provide the direct references for the design of the continuous variable multipartite entanglement generation systems.