In this paper, the dynamics of entanglement between a single two-level atom interacting with one-mode cavity field is investigated with zero and large detuning parameters. The von Neumann entropy and concurrence measures are used to characterize the degree of entanglement. We find that the entanglement shows the oscillating behavior which depends on the initial amplitude of the coherent field, detuning parameter, and atom-field coupling constant. Specially, we study the generation of the robust maximally entangled state and conclude that the intensity of the coherent field and detuning parameter can be utilized as the control parameters for generating robust maximally entangled state. At the end, some important statistical features such as Wigner function, Mandel parameter, and second-order correlation function will be discussed. The comparison between the entanglement and Wigner function shows that for \(\chi t=(n+\frac {1}{2})\pi \), the maximum of Wigner function has information about the entanglement between the atom and field in the Jaynes-Cummings model. Moreover, the Mandel parameter and consequently the second-order correlation function show that the radiation field has Poissonian statistics.

本文利用零失谐参数和大失谐参数研究了单个二能级原子与单模腔场相互作用时的纠缠动力学。冯·诺依曼熵和并发度量用于表征纠缠度。我们发现纠缠表明振荡行为取决于相干场的初始幅度，失谐参数和原子-场耦合常数。特别地，我们研究了鲁棒最大纠缠态的产生，并得出结论，相干场的强度和失谐参数可以用作生成鲁棒最大纠缠态的控制参数。最后，将讨论一些重要的统计特征，例如Wigner函数，Mandel参数和二阶相关函数。\（\ chi t =（n + \ frac {1} {2}）\ pi \），Wigner函数的最大值具有有关Jaynes-Cummings模型中原子与场之间的纠缠的信息。此外，Mandel参数以及因此的二阶相关函数表明辐射场具有泊松统计量。