Time Optimal Control of Nonlinear Bloch Equations
Irigo Edouard Zibo, Rachida El Assoudi-Baikari, Nicolas Forcadel
Abstract
We deal with time optimal control of nonlinear Bloch equations describing the influence of Coulomb parameters on particle dynamics. The dynamic is analyzed using tools of geometric optimal control theory. We present different time optimal syntheses by varying the parameters of a two energy levels quantum dots system. We show the nontrivial role of Coulomb parameters on the time minimal trajectories.