On the controllability in projections for linear quantum systems

2024/04/12 by Chambrion, Thomas, Boussaid, Nabile, Caponigro, Marco
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2404.08290

Abstract

We present sufficient conditions for the exact controllability in projection of the linear Schrödinger equations in the case where the spectrum of the free Hamiltonian is pure point. We consider the general case in which the Hamiltonian may be nonlinear with respect to the control. The controllability result applies, in particular, to Schrödinger equations with a polarizability term.

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