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

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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https://hal.inria.fr/hal-02277653
Contributor : Nicolas Augier <>
Submitted on : Wednesday, September 4, 2019 - 1:06:07 PM
Last modification on : Friday, June 18, 2021 - 3:32:13 AM
Long-term archiving on: : Wednesday, February 5, 2020 - 4:30:34 PM

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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, AIMS, 2020, 10, pp.877-911. ⟨10.3934/mcrf.2020023⟩. ⟨hal-02277653⟩

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