Approximate controllability of the Schrödinger equation with a polarizability term

Author

Boussaid, Nabile ; Caponigro, Marco ; Chambrion, Thomas

Author_Institution

Lab. de Math., Univ. de Franche-Comte, Besancon, France

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

3024

Lastpage

3029

Abstract

This paper is concerned with the controllability of quantum systems in the case where the standard dipolar approximation, involving the permanent dipole moment of the system, has to be corrected by a so-called polarizability term, involving the field induced dipole moment. Sufficient conditions for controllability between eigenstates of the free Hamiltonian are derived and control laws are explicitly given. As an illustration, the results are applied to the planar rotation of the HCN molecule.

Keywords

Schrodinger equation; controllability; discrete systems; eigenvalues and eigenfunctions; molecular moments; polarisability; HCN molecule; Schrödinger equation; approximate controllability; control law; eigenstates; free Hamiltonian; permanent dipole moment; planar rotation; polarizability term; quantum system; standard dipolar approximation; Aerospace electronics; Approximation methods; Controllability; Eigenvalues and eigenfunctions; Equations; Moment methods; USA Councils;

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.2012.6426619

Filename

6426619