基于非线性J-C模型的多光子系统纠缠度演化研究

Multiphoton System Entanglement Evolution Based on Nonlinear J-C Model

利用线性和非线性J-C模型研究原子与光场相互作用系统分别在线性和非线性介质中,在多光子跃迁情况下(N=1,2,3,4)纠缠度随时间演化的特性,给出了原子与光场的纠缠度与系统初始态参数、失谐量、初始光子数、跃迁光子数和非线性项系数之间的解析关系式,分别研究了这些参数对纠缠度的影响,并给出了量子纠缠度随时间的演化曲线.通过数值计算得到了一些有价值的结论,这些结论在量子计算和量子通信中具有一定的应用价值.

The linear and nonlinear J-C model is used to study atomic and optical fields interaction system in linear and nonlinear media, the evolution characteristics of entanglement vary with time under multi-photon transition(N=1,2,3,4), the analytic expression between the entanglement of the atom and the optical field and the initial state parameters of the system, the detuning quantity, the initial photon number, the transition photon number and the nonlinear term coefficient is given, the influences of these coefficients on the entanglement are studied, and the evolution curve of quantum entanglement vary with time are given. Some valuable conclusions are obtained by numerical calculation, which possess the application value for quantum calculation and quantum communication.