Title :
Controllable quantities for bilinear quantum systems
Author :
Turinici, Gabriel
Author_Institution :
ASCI-CNRS Lab., Univ. Paris Sud, Orsay, France
Abstract :
The paper is dedicated to the search of tailored controllability concepts for quantum systems interacting with lasers. A negative result for infinite dimensional spaces serves as motivation for a finite dimensional analysis. We show that under physically reasonable hypothesis we can locally control sets of observables. As a remarkable particular case global exact controllability is proven for the population of the eigenstates
Keywords :
Schrodinger equation; bilinear systems; controllability; multidimensional systems; quantum chemistry; bilinear quantum systems; controllable quantities; eigenstates; finite dimensional analysis; global exact controllability; infinite dimensional spaces; tailored controllability concepts; Chemical lasers; Chemical technology; Control systems; Controllability; Laboratories; Laser modes; Laser theory; Optical control; Optical design; Optical pulses;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912047
