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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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On the Controllability in Projections for Linear Quantum Systems

  • 会议论文

  • 发表日期：

    2025年

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  • Nabile Boussaïd,
  • Marco Caponigro,
  • Thomas Chambrion

摘要

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.