双模双光子系统的虚光场效应和Stark效应对原子布居的影响

Chaos of Atom Population with Stark Shift under with and without Rotating-wave Approximation

用双模双光子的Ｊａｙｎｅｓ－Ｃｕｍｍｉｎｇｓ模型，在考虑了Ｓｔａｒｋ效应之后，分别给出了旋波近似及非旋波下原子布居拉比振荡的结果，并将两者做了比较，发现原子市居的拉比振荡受Ｓｔａｒｋ效应的影响，考虑了非旋波之后，原子布居出现混沌现象，Ｓｔａｒｋ分裂系数比值影响混沌现象的强弱，如果Ｓｔａｒｋ分裂系数比值不为１；则混沌现象增强；此外原子－光场耦合常数与光场频率之比是出现混沌现象的重要参数，这个比值越大，混沌现象则越强．

The collapses and revivals of atom population are investigated in the two-mode two pho- ton Jaynes-Cummings model, in which Stark shift with a Rotating-Ware Approximation (RWA) and without RWA are all considered. The va1ue of b (b2 = β1/β2, β1 and β2 are the two Stark shift coefficients) thects the perodic time of the collapses and revivals of atom population. Only when b=1, the periodic time is the shortest. Without RWA, we found the atom population exhibits Chaos, which is thected by Stark shift. If β1 equal to β2, the chaos is the weakest. When b deviates from 1, the chaos become stronger.