二模非线性增光子热态的非经典特性

本文从非线性囚禁离子Jaynes-Cummings模型出发,研究了非线性参数对囚禁离子沿两个正交方向的振动模式之间的互相关函数的影响.采用理论分析和数值计算相结合的方法,分析了二维非线性增光子热态的互相关函数.结果表明,在低温下,二维非线性增光子热态呈现关联效应.随着温度的增加和非线性参数的增大,两模式之间的关联效应减弱.当温度大于时,两模式之间呈现反关联效应.

The nonclassical effect of two-mode nonlinear photon-added thermal state

Based on the nonlinear trapped ion Jaynes-Cumming model, the influence of nonlinear parameters on the cross-correlation function of two vibrational modes of the trapped ion along mutually orthogonal directions is investigated. By applying theoretical analysis and numerical computation, the cross-correlation function of two-mode nonlinear photon-added thermal state is numerically analyzed. The results show that for low temperature, the correlated effect is observed. The correlated effect is weakened with the increases of temperature and the value of the Lamb-Dicke parameters. When the temperature is greater than , the anticorrelated effect will be observed.