Kerr介质腔中非线性J-C模型的腔场谱

研究了Kerr介质腔中非线性J-C模型的腔场谱.导出了初始光场处于任意量子态时腔场谱的计算公式,给出了光场处于数态、相干态和压缩真空态时的数值结果,讨论了Kerr效应和初始场强对腔场谱的影响.发现在光子数态的情况下,n≠1时均为2峰结构,Kerr介质使得中心频率按x(2n-1)的规律向高频方向移动,并破坏谱结构的双峰对称性;在相干态和压缩真空态情况下,当Kerr效应较弱时,非线性J-C模型中腔场谱的非经典特性较为突出,Kerr效应较强时,呈现多峰结构,谱的结构特征主要由Kerr效应决定,由于原子与腔场的耦合被抑制,腔场谱的非线性特征趋于消失.

Cavity field spectrum of nonlinear Jaynes-Cummings modal with Kerr medium

The cavity field spectra for a nonlinear Jaynes-Cummings model with an additional Kerr medium are investigated by means of the quantum theory. The cavity field spectrum expression is driven. The numerical results for the initial fields in pure number state, coherent state and squeezed vacuum state are presented. It is found that two-peak structures appear with the initial field in pure number state. The "center frequency" of the spectrum moves toward the high frequency under the regular of (2n-1). And the symmetry of the spectrum is destroyed when the Kerr-effect increase. Under the situation of the coherent state field or squeezed vacuum state with weaker Kerr-effect, the cavity field spectrum presents more non-classical property. When the Kerr-effect is strong the spectrum appears multi-peak structure. The spectrum structure was affected by Kerr-effect mostly. The nonlinear property of the spectrum vanishes because the coupling of the atom and field is suppressed by strong Kerr-effect.