Jaynes—Cummings模型的非共振行为：原子能级占有几率和场的相干特性

采用相互作用图景,对相干态Jaynes-Cummings(JC)模型在失谐情况下导出了严格的解析解。用数值计算研究了原子能级占有几率与时间,失谐量和初始平均光子数的关系,发现原子能级占有几率对失谐量也表现出量子塌缩和再生现象;讨论了再生时间与再生信号之间的干涉现象。用数值计算研究了场的相干态的时间发展,发现JC模型一个有趣而又重要的新现象,即对于短时间范围,场态的发展表现出准可逆性,并详细讨论了这个现象。

Non-resonance behaviour of the Jaynes-Cummings (JC)model——The atomic level occupation probabilities and coherent properties of the optical field

The exactly analytic solution of the coherent sbate Jaynes-Cummings (JC) model is derived for the detunings using the interaction picture. The atomic level occupation probabilities are investig-ated numerically as function of time and detuning parameter and initial mean photon number. For detuning parameter, the quantum collapse and revival phenomenon of the atomic level occupation probabilities is found. Interference between revival signals is discussed. The time evolution of the coherent states of field is studied numerically. It is discovered that the evolution of the state of field appears to be quasi-reversible for a short period of time. This is an interesting and important new phenomenon of JC model. Detailed discussion is presented.