Single-input perturbative control of a quantum symmetric rotor
Optimization and Control
2022-02-11 v1 Analysis of PDEs
Quantum Physics
Abstract
We consider the Schr\"odinger 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.
Cite
@article{arxiv.2202.04689,
title = {Single-input perturbative control of a quantum symmetric rotor},
author = {Thomas Chambrion and Eugenio Pozzoli},
journal= {arXiv preprint arXiv:2202.04689},
year = {2022}
}
Comments
Additional material attached. It consists in two files: Resonnant14.m and Control.m used for the numerical simulations of the preprint. These two Octave scripts should be loaded in the Octave editor