Quantum tracking control of the orientation of symmetric-top molecules

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

Research output: Contribution to journalArticlepeer-review


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 paper, we generalize the ideas in [Phys. Rev. A 98, 043429 (2018)2469-992610.1103/PhysRevA.98.043429] to the task of orienting symmetric top molecules in three dimensions. To this end, we derive equations for the control fields capable of directly tracking the expected value of the three-dimensional 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.

Original languageEnglish (US)
Article number033106
JournalPhysical Review A
Issue number3
StatePublished - Sep 2023

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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