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摘要: 对三个脉冲激光场与两种四能级同位素原子选择性相互作用的动力学过程进行了研究。由旋转波近似下的含时Schr?dinger方程出发,利用Sylvester定理分别对于近共振和非共振两种激发过程的动力学方程求解,导出了激发和电离几率的解析表达式。研究结果揭示了窄带强激光激发原子的过程中的相干振荡特性。在近共振激发时,导出了粒子布居在激发态上反转的条件,并由此提供了选择性激发和电离过程中所采用的脉冲激光源之基本参数的选择依据。
Abstract: The dynamics of isotopically selective interactions between the radiation of three pulsed lasers and atoms with a four-levels scheme has been studied. Starting from the time-dependent Schr?dinger equation with the rotating-wave approximation, we applied Sylvester theorem to the dynamic equations associated with near-and off-resonant excitations, respectively. We obtained the explicit expressions for the four-levels occupation probabilities. The analytic treatment explored the properties of coherent oscillations occurred in the atomic excitatioi. processes with intense mono-chromatic lasers. The conditions under which the population inversion takes place are derived from near-resonant excitations. The criteria to select the basis parameters of pulsed lasers involved in the process are also provided.