Controllability of the Schroedinger equation via adiabatic methods and conical intersections of the eigenvalues

Abstract : We present a constructive method to control the bilinear Schroedinger equation by means of two or three controlled external fields. The method is based on adiabatic techniques and works if the spectrum of the Hamiltonian admits eigenvalue intersections, with respect to variations of the controls, and if the latter are conical. We provide sharp estimates of the relation between the error and the controllability time.
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Francesca Chittaro, Paolo Mason, Ugo Boscain, Mario Sigalotti. Controllability of the Schroedinger equation via adiabatic methods and conical intersections of the eigenvalues. 51st IEEE CDC 2012, Maui, Hawaii, Dec 2012, United States. pp.3044-3049. ⟨hal-00779600⟩

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