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Effect of field quantization on Rabi oscillation of equidistant cascade four-level system

机译:场量化对等距级联四能级系统拉比振荡的影响

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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 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.
机译:通过利用与Jaynes-Cummings模型的相似性,我们已经精确地解决了等距级联四能级系统与单模辐射场相互作用的半经典和量子力学模型。对于古典领域,表明最初在第一层(第二层)中的系统的拉比振荡类似于最初在第四层(第三层)中的系统的拉比振荡。然后,我们继续求解模型的量化版本,其中使用六参数四维矩阵构造修整状态,并表明半经典模型在系统的拉比振荡中表现出的对称性在的量化上被完全破坏了。腔场。最后,我们研究了相干状态下腔场模系统的崩溃和复兴,讨论了对称性的恢复及其含义。

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