时变目标的最优控制
Optimal control of time-dependent targets
摘要：
在这项工作中，我们研究如何以及在何种程度上可以驱动量子系统沿着希尔伯特空间中的一个指定的路径由一个适当的形状的激光脉冲。为了计算最佳值，即，最大化变化最佳脉冲、适当定义的泛函。这导致了一个单调收敛的算法，它在计算上并不比标准的最优控制技术更昂贵，以推动一个系统，而不指定的路径，从一个给定的初始状态到一个给定的最终状态。该方法已成功地应用于驱动实空间中的含时密度沿给定轨迹运动，并控制了二能级系统和一维氢原子模型的含时占据数.
英文摘要：
In this work, we investigate how and to which extent a quantum system can be driven along a prescribed path in Hilbert space by a suitably shaped laser pulse. To calculate the optimal, i.e., the variationally best pulse, a properly defined functional is maximized. This leads to a monotonically convergent algorithm which is computationally not more expensive than the standard optimal-control techniques to push a system, without specifying the path, from a given initial to a given final state. The method is successfully applied to drive the time-dependent density along a given trajectory in real space and to control the time-dependent occupation numbers of a two-level system and of a one-dimensional model for the hydrogen atom.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
