Title :
Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule
Author :
Boscain, Ugo ; Caponigro, Marco ; Sigalotti, Mario
Author_Institution :
CMAP, Ecole Polytech., Palaiseau, France
Abstract :
We show the approximate rotational controllability of a polar linear molecule by means of three nonresonant linear polarized laser fields. The result is based on a general approximate controllability result for the bilinear Schrödinger equation, with wavefunction varying in the unit sphere of an infinite-dimensional Hilbert space and with several control potentials, under the assumption that the internal Hamiltonian has discrete spectrum.
Keywords :
Hilbert spaces; Schrodinger equation; controllability; discrete time systems; molecular dynamics method; 3D molecule; approximate rotational controllability; bilinear Schrödinger equation; control potentials; discrete spectrum; infinite-dimensional Hilbert space; internal Hamiltonian; molecular orientation; nonresonant linear polarized laser fields; polar linear molecule; quantum systems; rotational molecular dynamics; wavefunction; Approximation methods; Controllability; Equations; Manganese; Mathematical model; Moment methods; TV;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426289
