Title :
On the control of spin-boson systems
Author :
Boscain, Ugo ; Mason, P. ; Panati, Gianluca ; Sigalotti, Mario
Author_Institution :
CMAP, Ecole Polytech., Palaiseau, France
Abstract :
In this paper we study the so-called spinboson system, namely a spin-1/2 particle in interaction with a distinguished mode of a quantized bosonic field. We control the system via an external field acting on the bosonic part. Applying geometric control techniques to the Galerkin approximation and using perturbation theory to guarantee non-resonance of the spectrum of the drift operator, we prove approximate controllability of the system, for almost every value of the interaction parameter.
Keywords :
Galerkin method; Schrodinger equation; bosons; elementary particle spin; geometry; perturbation theory; Galerkin approximation; Schrodinger equation; drift operator; external field; geometric control techniques; interaction parameter value; perturbation theory; quantized bosonic field mode; spectrum nonresonance; spin-1-2 particle; spin-boson system control; system approximate controllability; Abstracts; Approximation methods; Controllability; Eigenvalues and eigenfunctions; Europe; Taylor series;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
