Single-Input Perturbative Control of a Quantum Symmetric Rotor

Single-Input Perturbative Control of a Quantum Symmetric Rotor

We consider the Schrödinger partial differential equation of a rotating symmetric rigid molecule (symmetric rotor) driven by a z-linearly polarized electric field, as prototype of degenerate infinite-dimensional bilinear control system. By introducing an abstract perturbative criterium, we classify...

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Bibliographic Details
Main Authors: Chambrion, T. (Author), Pozzoli, E. (Author)
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers Inc. 2022
Subjects:
Algebra
Algebraic/geometric method
Algebraic/geometric methods
Bilinear control systems
Distributed parameter control systems
distributed parameter systems
Distributed parameter systems
Electric fields
Geometric method
Infinite dimensional
Linearly polarized
quantum control
Rigid molecules
Single input
Symmetric rotors
Symmetrics
Online Access:View Fulltext in Publisher
Description
Summary:We consider the Schrödinger partial differential equation of a rotating symmetric rigid molecule (symmetric rotor) driven by a z-linearly polarized electric field, as prototype of degenerate infinite-dimensional bilinear control system. By introducing an abstract perturbative criterium, we classify its simultaneous approximate controllability; based on this insight, we numerically perform an orientational selective transfer of rotational population. © 2017 IEEE.
ISBN:24751456 (ISSN)
DOI:10.1109/LCSYS.2022.3162250

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