SISSA Preprints

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https://hdl.handle.net/1963/35281

This community holds the preprint created in SISSA and that are not peer-reviewed.

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Browsing SISSA Preprints by Subject "Adiabatic Theory"

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    Controllability of the Schrodinger Equation via Intersection of Eigenvalues
    (2005) Adami, R.; Boscain, U.; mathematics
    We introduce two models of controlled infinite dimensional quantum system whose Hamiltonian operator has a purely discrete spectrum. For any couple of eigenstates we construct a path in the space of controls that approximately steers the system from one eigenstate to the other. To this purpose we use the adiabatic theory for quantum systems, and therefore the strategy requires large times.