非线性圆态及其非经典性质

Nonlinear Circular States and Their Non-Classical Properties

为了研究非线性和叠加效应对量子态的影响,采用理论分析和数值计算相结合的方法,研究了一种新的量子态,即非线性圆态。分析了该态的平均光子数分布、亚泊松分布、压缩效应等非经典性质,同时计算了它的维格纳(Wigner)函数。数值模拟结果表明:随着Lamb-Dicke参数和叠加态数目的增大,非线性圆态的平均光子数增加,而由该态描述的光场的亚泊松分布和压缩效应受到减弱。表征非线性效应的Lamb-Dicke参数和叠加态数目对该态的非经典特性有明显的影响。

In order to study the influence of nonlinearity and superposition on quantum state, by applying theoretical analysis and numerical computation, a new quantum state, namely nonlinear circular state, is studied. The nonclassical properties of the state are analyzed such as average photon number distribution, subPossion distribution and squeezing effect, and its Wingner function is calculated. Through numerical analysis,the results show that with the increase of the Lamb- Dicke parameter and superposition number of quantum states, the average photon number of nonlinear circular state is increased and the sub- Poisson distribution and squeezing effect of the state are both weakened. The nonclassical properties of the state are very sensitive to nonlinear effects which are characterized by the Lamb- Dicke parameter and superposition number of quantum states.