Single-input perturbative control of a quantum symmetric rotor

2022/02/09 by Chambrion, Thomas, Pozzoli, Eugenio
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2202.04689

Abstract

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.

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