Stark效应对J-C模型腔场谱的影响

Effect of the Stark shift on the cavity field spectra of the Jaynes-Cummings model

研究了计及Stark效应的J-C模型的腔场谱,通过求解本征方程导出了腔场谱的计算公式,给出了腔场处于光子数态时的数值结果,讨论了Stark效应和初始场强对标准J-C模型腔场谱的影响.发现在初始场为真空场时,两个Rabi峰的高度相等,随着Stark位移参数的增大,两峰都向低频方向移动,且频差逐渐增大;在初始场较强的情况下,Stark移动参数增大时会导致双峰的对称性消失,通过测量两峰的相对高度也可确定Stark位移参数的大小;在Stark效应较强初始场递增的情况下两峰仍向左移,但峰间距越来越小;在弱场情况下,Stark效应使两峰呈现左高右低或左低右高的峰结构.总之,改变Stark位移参数β1、β2的大小以及初始场强的强弱,可得到不同的谱线结构.

The cavity field spectrum of an atom interacting with a field in the presence of Stark shift is investigated, By solving the eigen equation, The expression of the cavity field spectrum is given out. Some numerical results for the initial field in pear number state are presented. The effects of Stark shift and initial photon number on the spectral structure are discussed. It is found that two Rabi peaks with equal height appear when the initial field is vacuum. Along with the accretion of Stark shift, the both peaks shift to lower frequency and the peak-space increases, In the case of strong input field, the heights of the two peaks are no longer equal. The Stark shift coefficient can be detected by measuring the relative height of the two peaks. With increasing of the Stark shift coefficient, the two peaks shift also to lower frequency but the peak-space decrease. In the ease of weak input field, one of the two Stark shift coefficient affects one peak＇s height respectively. The spectral structure can be affected by the photon number and by one or two of the Stark sift coefficient sensitively,