单模强光场中的非线性二能级原子模型

Nonlinear two-level atomic model in high intensity one-mode light field

目的修正传统JC(Jaynes-Cummings)模型中省略的A2项对原子模型的影响,得到强光场中比较精确和实用的量子光学模型。方法利用二次量子化的方法,严格推导了A2项对原子模型的影响。结果得到了一种简单的非线性量子光学模型,该模型可用于在强光场中原子行为的研究。最后给出了这个模型的场为相干态时的一个解,并对解进行了分析。结论在强光场中A2项对系统行为有较大的影响,该模型则在强光场中给出了一个比较精确的结果。

Aim To modify the traditional JC（Jaynes-Cummings） model by considering the influence of the term A^2 , and a more rigorous and practical quantum optics model was obtained. Methods The model including the term A^2 is rigorously derived by using second-quantization method. Results A nonlinear quantum optics model for a two-level atom interacting with light field is given. This model can be used to study the atomic behavior in the intense light field. Finally, a simple solution of this model under the condition that the two-photon process is neglected is obtained, and the difference of this solution with that of the JC model is also simply discussed. Conclusion The term of A^2 is greatly modify the form of the JC model and the model presented here can provide a relative precise results if the light field is strong.