非线性囚禁离子模型中布居数反转演化

Evolution of ion population inversion in nonlinear trapped ion model

运用全量子理论的方法,研究了在驻波激光场中单个囚禁离子布居数反转的动力学特性,分别讨论非线性参数η和驻波场的相位φ对离子布居数反转崩塌-复原现象的影响。结果表明,随着η的增大,离子的布居数反转崩塌-复原的周期变短,振荡频率变大。但当η超过某一临界值时,离子布居数反转崩塌-复原的轮廓变得不明显。另外,驻波激光场的相位也对囚禁离子布居数反转的动力学特性有明显的影响,随着φ的增大,离子的布居数反转崩塌-复原的周期变大,振荡频率变大。

The dynamical properties of the population inversion of a trapped ion in standing wave field were studied by means of full quantum theory. The influences of the nonlinear parameter η and phase of the standing wave field φ on the collapses and revivals of the ionic inversion were discussed. The results show that the nonlinear parameter η has a great influence on ion population inversion, namely, when the parameter η increases, the period of ion population inversion becomes shorter and the oscillation frequency becomes larger. It is not obvious for contour of the collapses and revivals of the ion population inversion when η reaches a critical value. In addition, phase of the standing wave field also shows a significant influence on the ion population inversion, namely, when phase of the standing wave field φ increases, period of the ion population inversion becomes larger and the oscillation frequency becomes larger.