双δ激光脉冲作用下Paul阱中单离子的规则与混沌运动  

Regular and chaotic motions of a single Paul-trapped ion interacting with double-δ-kicked pulses

作　　者：陈文钦[1] 海文华[1] 宋建文[1] 

机构地区：[1]湖南师范大学物理系

出　　处：《物理学报》2008年第3期1608-1615,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10575034);波谱与原子分子物理国家重点实验室(批准号:T152504)资助的课题~~

摘　　要：考虑赝势近似下囚禁于Paul阱中的单离子与双δ脉冲型周期势相互作用系统的规则与混沌运动.应用积分方程方法得到系统的经典运动精确解,通过数值方法作出相空间轨道图和平均能量的时间演化曲线.结合分析与数值结果,发现两个有趣的结论.即在离子与单δ脉冲作用出现共振失稳的情形,在双δ脉冲作用下却出现了稳定的规则运动;离子随着双δ脉冲中两个脉冲之间的时间间隔减小而由规则运动转为混沌运动,其平均能量扩散的快慢与混沌运动的混乱程度相关.还研究了系统的共振失稳,发现通过调节激光波矢可以控制这种不稳定性.We investigate the regular and chaotic motions of a single Paul-trapped ion under the pseudopotential approximation, which interacts with a double-δ-kicked periodic potential. We apply the method of integral-equation to construct the exact solution of the classical equation and use the numerical technique to plot the orbits in phase space and the time evolutions of average energies. Combining the analytical results with the numerical ones, we arrived at two interesting conclusions： Firstly, there are regular stable motions of the double δ-kicked system, at variance with the resonance case of the corresponding single δ-Kicked system. Secondly, when the time interval between the double δ pulses becomes shorter, the regular motion of the system becomes chaotic, and the speed of classical diffusion of the average energy is related to the degree of chaos. It is shown that the resonance may lead to loss of stability and the instability can be controlled by adjusting the laser wave vector.

关 键 词：双δ脉冲 囚禁离子 精确解 混沌 PAUL阱 

分 类 号：O562[理学—原子与分子物理]