Title :
Notions of controllability for bilinear multilevel quantum systems
Author :
Albertini, Francesca ; Alessandro, Domenico D.
Author_Institution :
Dipt. di Matematica Pura ed Applicata, Univ. di Padova, Italy
Abstract :
In this note, we define four different notions of controllability of physical interest for multilevel quantum mechanical systems. These notions involve the possibility of driving the evolution operator as well as the state of the system. We establish the connections among these different notions as well as methods to verify controllability.
Keywords :
bilinear systems; controllability; quantum theory; bilinear multilevel quantum systems; controllability; multilevel quantum mechanical systems; Algebra; Control system synthesis; Control systems; Control theory; Controllability; Mathematics; Mechanical systems; Nonlinear systems; Quantum mechanics; Schrodinger equation;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.815027