Singularity-free quantum tracking control of molecular rotor orientation

Magann, Alicia; Ho, Tak-San; Rabitz, Herschel

doi:10.1103/physreva.98.043429

Singularity-free quantum tracking control of molecular rotor orientation

Journal Article · Wed Oct 24 00:00:00 EDT 2018 · Physical Review A

DOI:https://doi.org/10.1103/physreva.98.043429· OSTI ID:1609379

Magann, Alicia ^[1]; Ho, Tak-San ^[2]; Rabitz, Herschel ^[2]

Princeton Univ., NJ (United States); DOE/OSTI
Princeton Univ., NJ (United States)

Quantum tracking control aims to identify applied fields to steer the expectation values of particular observables along desired paths in time. The associated temporal fields can be identified by inverting the underlying dynamical equations for the observables. However, fields found in this manner are often plagued by undesirable singularities. In this paper we consider a planar molecular rotor and derive singularity-free tracking expressions for the fields that steer the expectation of the orientation of the rotor along the desired trajectories in time. Lastly, simulations are presented that utilize two orthogonal control electric fields to drive the orientation of the rotor along a series of designated tracks.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States); Krell Institute, Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-02ER15344; FG02-97ER25308

OSTI ID:: 1609379

Alternate ID(s):: OSTI ID: 1478691

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 98; ISSN PLRAAN; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Quantum optimal control of multiple weakly interacting molecular rotors in the time-dependent Hartree approximation Magann, Alicia; Chen, Linhan; Ho, Tak-San The Journal of Chemical Physics, Vol. 150, Issue 16 https://doi.org/10.1063/1.5091520	journal	April 2019
Quantum control of molecular rotation Koch, Christiane P.; Lemeshko, Mikhail; Sugny, Dominique Reviews of Modern Physics, Vol. 91, Issue 3 https://doi.org/10.1103/revmodphys.91.035005	journal	September 2019
Uncomputability and complexity of quantum control Bondar, Denys I.; Pechen, Alexander N. arXiv https://doi.org/10.48550/arxiv.1907.10082	text	January 2019

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