论文标题
控制量子混乱：最佳相干目标
Controlling Quantum Chaos: Optimal Coherent Targeting
论文作者
论文摘要
控制经典混沌动力学系统的主要目标之一就是靶向，这是使用系统对初始条件的极端敏感性以达到预定的目标状态的非常微弱的扰动过程。结果表明，在半经典制度中可能可以对混乱的量子系统进行概括，但需要定制的扰动，其效果必须消除不断发展的量子状态的动态扩散。此处描述的过程应用于量子踢转子（一种杰出的量子混沌范式）中最初的最小不确定性波包，以说明该方法并研究其准确性。该方法的错误可以消失为$ \ hbar \ rightarrow 0 $
One of the principal goals of controlling classical chaotic dynamical systems is known as targeting, which is the very weakly perturbative process of using the system's extreme sensitivity to initial conditions in order to arrive at a predetermined target state. It is shown that a generalization to chaotic quantum systems is possible in the semiclassical regime, but requires tailored perturbations whose effects must undo the dynamical spreading of the evolving quantum state. The procedure described here is applied to initially minimum uncertainty wave packets in the quantum kicked rotor, a preeminent quantum chaotic paradigm, to illustrate the method, and investigate its accuracy. The method's error can be made to vanish as $\hbar \rightarrow 0$
