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arXiv · 2202.04689

Single-input perturbative control of a quantum symmetric rotor

Thomas Chambrion·Eugenio Pozzoli
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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.

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Thomas Chambrion, Eugenio Pozzoli. 2022-02-09. Single-input perturbative control of a quantum symmetric rotor. https://arxiv.org/abs/2202.04689

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