Archivio Istituzionale della RicercaWe 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.
Controllability of the Schrödinger equation via intersection of eigenvalues / Adami, Riccardo; Boscain, U.. - (2005), pp. 1080-1085. (Intervento presentato al convegno 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 tenutosi a Siviglia, Spagna nel 12-15 dicembre 2005).
Controllability of the Schrödinger equation via intersection of eigenvalues
ADAMI, RICCARDO;
2005
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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https://hdl.handle.net/11583/2503989
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