考虑一个在经典电压偏置和量子化微波场作用下的电荷库伯对箱,研究丁该系统的Pancharatnam相和几何相的时间演化行为,研究发现Pancharatnam相随时间是减小的,儿何相随时间是增加的,并且当Pancharatnam相减小的速率增大时,几何相增加的速率减小;反之当Pancharatnam相减少的速率减小时,几何相增加的速率增加。
We consider a single-Cooper-pair box biased by a classical voltage and also irradiated by a single-mode quantized field. We investigate the dynamical behavior of the Pancharatnam phase and the geometric phase of the system, and find that the dynamic behavior of the Pancharatnam phase decreases with time, and the geometric phase increases with time. When the decreasing rate of Pancharatnam phase is large, the increasing rate of geometric phase is small, and vice versa.