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. © 2013 EUCA.
On the control of spin-boson systems / U., Boscain; P., Mason; Panati, Gianluca; M., Sigalotti. - STAMPA. - (2013), pp. 2110-2115. (Intervento presentato al convegno 12th European Control Conference, ECC 2013 tenutosi a Zurich; Switzerland nel 17 July 2013 through 19 July 2013).
On the control of spin-boson systems
PANATI, GIANLUCA;
2013
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. © 2013 EUCA.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
