变形Jaynes-Cummings模型中的Pancharatnam相位

PANCHARATNAM PHASE IN DEFORMED JAYNES-CUMMINGS MODEL

  • 摘要: 首先给出了变形J-C模型的Pancharatnam相位解析表达式,然后,分析讨论了变形J-C模型的Pancharatnam相位的演化规律,并比较了其与通常J-C模型Pancharatnam相位演化规律的异同. 结果表明,Pancharatnam相位反映了与原子布居数反转以及光场量子特性相关的信息,且平均光子数较大时,变形J-C模型的Pancharatnam相位演化规律与通常J-C模型的Pancharatnam相位演化规律差异较大. 这表明,Pancharatnam相位演化与系统所蕴涵的量子代数结构有密切的关系.

     

    Abstract: The Pancharatnam phase of deformed Jaynes-Cummings(J-C) model was obtained analytically. The evolution of Pancharatnam phase for deformed Jaynes-Cummings model, was also discussed. The difference between the Pancharatnam phase evolution for deformed J-C model and that of conventional J-C model has been investigated. The results show that the Pancharatnam phase reveals some information of population reversion of an atom and the quantum nature of the cavity field. And the larger is the average photon number,the larger is the difference of Pancharatnam phase evolution between deformed J-C model and conventional J-C model. This exhibits that the evolution of Pancharatnam phase is closely relative to the quantum algebra structure of the system.

     

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