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arXiv · 1909.02271

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

Nicolas Augier·Ugo Boscain·Mario Sigalotti
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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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Nicolas Augier, Ugo Boscain, Mario Sigalotti. 2019-09-05. Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. https://arxiv.org/abs/1909.02271

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