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Approximate controllability by adiabatic methods of the Schrödinger equation with nonlinear Hamiltonian.

Abstract : We consider quantum systems described by a controlled Schrödinger equation, where the Hamiltonian dependssmoothly on three external inputs. We use adiabatic techniquesto provide a constructive controllability result in some portionof the discrete spectrum, provided that it is conically connected.The case of Schrödinger Hamiltonians with electromagneticfields fits the nonlinear setting studied in this paper.
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https://hal.archives-ouvertes.fr/hal-01252617
Contributor : Paolo Mason <>
Submitted on : Thursday, January 7, 2016 - 6:30:29 PM
Last modification on : Saturday, November 14, 2020 - 1:00:02 AM

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Francesca Chittaro, Paolo Mason. Approximate controllability by adiabatic methods of the Schrödinger equation with nonlinear Hamiltonian.. 54th IEEE Conference on Decision and Control (CDC), Dec 2015, Osaka, Japan. pp.7771-7776, ⟨10.1109/cdc.2015.7403448⟩. ⟨hal-01252617⟩

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