场量子化对等距级联四能级系统拉比振荡的影响
Effect of field quantization on Rabi oscillation of equidistant cascade four-level system
摘要：
利用Jaynes-Cummings模型与等距离级联四能级系统的相似性，精确求解了该系统与单模辐射场相互作用的半经典和量子力学模型.对于经典光场，证明了系统初始处于第一能级（第二能级）时的拉比振荡与系统初始处于第四能级（第三能级）时的拉比振荡相似.然后，我们着手解决的量子化版本的模型，其中通过使用一个六参数的四维矩阵的修饰状态，并表明，在拉比振荡的系统的半经典模型中表现出的对称性是完全破坏的量子化的腔场。最后，我们研究了腔场模相干态系统的坍缩和恢复，讨论了对称性的恢复及其意义。
英文摘要：
We have exactly solved a model of equidistant cascade four-level system interacting with a single-mode radiation field both semiclassically and quantum mechanically by exploiting its similarity with Jaynes-Cummings model. For the classical field, it is shown that the Rabi oscillation of the system initially in the first level (second level) is similar to that of the system when it is initially in the fourth level (third level). We then proceed to solve the quantized version of the model where the dressed state is constructed by using a six parameter four-dimensional matrix and show that the symmetry exhibited in the Rabi oscillation of the system for the semiclassical model is completely destroyed on the quantization of the cavity field. Finally we have studied the collapse and revival of the system for the cavity field-mode in a coherent state to discuss the restoration of symmetry and its implication is discussed.
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