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arXiv 2301.04255quant-ph
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对称陀螺分子取向的量子跟踪控制

Quantum tracking control of the orientation of symmetric top molecules

Alicia B. Magann, Tak-San Ho, Christian Arenz, Herschel A. Rabitz

AI总结:

本文推广量子跟踪控制方法至对称陀螺分子三维取向,通过反演动力学方程直接跟踪偶极取向矢量,并展示其适用于线性分子及数值示例。

摘要:

量子跟踪控制的目标是识别整形场,以引导可观测期望值沿指定的时间相关轨迹运动。这些场通过一种无迭代程序确定,该程序基于对控制可观测量的底层动力学方程进行反演。在本文中,我们将Phys. Rev. A 98, 043429 (2018)中的思想推广到三维空间中对称陀螺分子的取向任务。为此,我们推导了控制场的方程,这些方程能够直接跟踪三维偶极取向矢量的期望值沿期望路径随时间的变化。我们展示了该框架也可用于跟踪线性分子的取向,并给出了这些原理在对称陀螺跟踪控制问题中的数值示例。

英文摘要:

The goal of quantum tracking control is to identify shaped fields to steer observable expectation values along designated time-dependent tracks. The fields are determined via an iteration-free procedure, which is based on inverting the underlying dynamical equations governing the controlled observables. In this article, we generalize the ideas in Phys. Rev. A 98, 043429 (2018) to the task of orienting symmetric top molecules in 3D. To this end, we derive equations for the control fields capable of directly tracking the expected value of the 3D dipole orientation vector along a desired path in time. We show this framework can be utilized for tracking the orientation of linear molecules as well, and present numerical illustrations of these principles for symmetric top tracking control problems.

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。

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