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Hamiltonian identification for quantum systems: well-posedness and numerical approaches

Claude Le Bris, Mazyar Mirrahimi, Herschel Rabitz, Gabriel Turinici (2007)

ESAIM: Control, Optimisation and Calculus of Variations

This paper considers the inversion problem related to the manipulation of quantum systems using laser-matter interactions. The focus is on the identification of the field free Hamiltonian and/or the dipole moment of a quantum system. The evolution of the system is given by the Schrödinger equation. The available data are observations as a function of time corresponding to dynamics generated by electric fields. The well-posedness of the problem is proved, mainly focusing on the uniqueness of the...

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