Controllability of the Schrodinger Equation via Intersection of Eigenvalues
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Date
2005
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Abstract
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.
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Keywords
Quantum Control, Controllability of PDEs, Adiabatic Theory, δ-like Interactions