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arXiv · 1102.3063

Adiabatic control of the Schr\"odinger equation via conical intersections of the eigenvalues

Ugo Boscain·Francesca Chittaro·Paolo Mason·Mario Sigalotti
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Abstract

In this paper we present a constructive method to control the bilinear Schr\"odinger equation via two controls. The method is based on adiabatic techniques and works if the spectrum of the Hamiltonian admits eigenvalue intersections, and if the latter are conical (as it happens generically). We provide sharp estimates of the relation between the error and the controllability time.

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Ugo Boscain, Francesca Chittaro, Paolo Mason, Mario Sigalotti. 2011-02-15. Adiabatic control of the Schr\"odinger equation via conical intersections of the eigenvalues. https://arxiv.org/abs/1102.3063

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