摘要
应用相干态近似方法研究了与单模玻色子耦合的二能级系统 ,计算了该系统下的能量占有几率Pi(t) ,并且在各种不同的条件下与Jaynes Cummings模型计算出的结果进行了比较 .通过比较得出 :当J C模型已经不再适合的条件下 ,相干态近似方法仍可以用于处理二能级系统 .当考虑到占有几率Pi(t)的微分效应时 ,相干近似方法能够提供更好的近似结果 .相干态近似方法是一种非微扰的非变分的近似方法 。
The two-level system interacting with a single-mode boson is studied using the method of coherent approximation. We calculated the occupation probability P i(t) of the system, and compare it with the results of Jaynes-Cummings model under different situations. The results show that this method can be used to deal with the problems when J-C model is not valid. CA(coherent approximation) method can provide better approximate results when the differential physical effect of P i(t) is considered. CA is a non-variational and non-perturbational method that provides a systematic scheme to improve the approximation of the system.
基金
SupportedbyNSFC (No .10 2 310 5 0 )
