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Journal Articles Mathematical Control and Related Fields Year : 2020

Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems

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Abstract

We study one-parametric perturbations of finite dimensional real Hamiltonians depending on two controls, and we show that generically in the space of Hamiltonians, conical intersections of eigenvalues can degenerate into semi-conical intersections of eigenvalues. Then, through the use of normal forms, we study the problem of ensemble controllability between the eigenstates of a generic Hamiltonian.
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Dates and versions

hal-02277653 , version 1 (04-09-2019)

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Nicolas Augier, Ugo Boscain, Mario Sigalotti. Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Mathematical Control and Related Fields, 2020, 10, pp.877-911. ⟨10.3934/mcrf.2020023⟩. ⟨hal-02277653⟩
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