激光脉冲作用下囚禁离子在Lamb-Dicke区域精确的量子运动

研究驻波型激光脉冲作用下，囚禁于Paul阱中的单离子在Lamb-Dicke区域的久期运动.通过试探解方法，得到系统的量子力学精确解.基于精确解描述的概率波包串，发现：1）波包串中心以及波包串的高度和宽度受激光脉冲强度的控制，通过调节激光强度可以控制波包串的形变和传播；2）在激光脉冲作用瞬间，离子的能量期待值发生跳变，而在激光关闭时段，有窄的能带形成；3）存在一个激光脉冲强度的临界值，在临界点附近，系统的稳定性发生变化. 关键词： 囚禁离子 激光脉冲 Lamb-Dicke近似 精确解

Exact quantum motion of a single trapped ion interacting with standing laser pulses in Lamb-Dicke regime

We investigate the secular motion of a single Paul-trapped ion in the Lamb-Dicke regime, which interacts with a sequence of standing laser pulses. By using the ansatz method, we get an exact quantum solution of the system. Based on the wave-packet trains described by the exact solution, we find that: i) The center, height and width of the wave-packet trains depend on the strength of laser pulses, the deformation and spread of the wave-packet trains can be controlled by adjusting the strength of laser. ii) Energy expectation values of the ion show jumps at the instantaneous switching on of the laser pulses. In the time intervals when the laser pulses are switched off some narrow energy bands are generated. iii) When the strength of laser pulses reaches a critical value, the system changes its stability.