Article ID: MTJPAM-D-19-00012

Title: Time Optimal Control of Nonlinear Bloch Equations


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-19-00012; Volume 2 / Issue 2 / Year 2020, Pages 49-57

Document Type: Research Paper

Author(s): Irigo Edouard Zibo a , Rachida El Assoudi-Baikari b , Nicolas Forcadel c

aINSA Rouen Normandie, LMI. Avenue de l’université . 76801 Saint Étienne du Rouvray, France

bINSA Rouen Normandie, LMI. Avenue de l’université . 76801 Saint Étienne du Rouvray, France

cINSA Rouen Normandie, LMI. Avenue de l’université . 76801 Saint Étienne du Rouvray, France

Received: 12 December 2019, Accepted: 6 May 2020, Available online: 23 September 2020.

Corresponding Author: Irigo Edouard Zibo (Email address: edouard.zibo@insa-rouen.fr)

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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.

Keywords: Geometric optimal control, Optimal control synthesis, Quantum dots

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