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

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

3038

Lastpage

3043

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6426289

Filename

6426289