研究了单个囚禁电子与外场绝热相互作用的量子系统.利用解析方法,得到了含时薛定谔方程的精确解,它描述了该量子系统一系列精确的压缩相干态.利用精确的量子态,计算了单电子的坐标、动量和能量期待值,展示了绝热因子对它们的影响,并讨论了如何通过对绝热参数的调制来实现对绝热量子态的控制.
By using an analytical method, exact solutions of the equation for a single tapped electron adiabatically interacting with an external field is obtained. Such exact solutions describe a series of exact squeezed coherent states of this quantum system, whose configuration of probability density is breathing and oscillatory wave-packets. The time evolutions of the expectation of coordinate, momentum and energy are greatly affected by the adiabatic factor in a time interval. Therefore, manipulation of quantum state can be realized by suitably adjusting adiabatic parameters.