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Pré-Publication, Document De Travail Année : 2022

Single-input perturbative control of a quantum symmetric rotor

Résumé

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.

Dates et versions

hal-03586235 , version 1 (23-02-2022)

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Eugenio Pozzoli, Thomas Chambrion. Single-input perturbative control of a quantum symmetric rotor. 2022. ⟨hal-03586235⟩
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