Paul势阱中激光冷却离子的运动方程及数值结果

Equation of Motion and Numerical Results of Two Laser-cooled Ions in a Paul Trap

由系统内的基本相互作用出发，得到了Ｐａｕｌ势阱中被激光冷却的二离子系统的运动微分方程，用数值方法研究了该系统的动力学行为，发现离子的运动状态敏感地依赖于参数和初值，在不同外驱力强度下系统存在多个吸引子、暂态混沌及锁频等现象．

From the basic interaction of the system we have obtained the equation of motion of two laser-cooled ions in a Paul trap. Using numerical method we studied the dynamic behaviors of the system and found that its final states were determined sensitively by parameters and initial conditions and there existed multi-attrators, frequency-locking and transient chaotic states.