变形Jaynes-Cummings模型中的Pancharatnam相位

PANCHARATNAM PHASE IN DEFORMED JAYNES-CUMMINGS MODEL

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.

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 in- vestigated. The results show that the Pancharatnam phase reveals some information of population reversion of an at- om and the quantum nature of the cavity field. And the larger is the average photon number, the larger is the differ- ence 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.