Quantum optimal control of nonlinear dynamics systems described by Klein-Gordon-Schrodinger equations

This paper is to develop a theoretical and computational framework for the analysis of quantum optimal control systems given by Klein-Gordon-Schrodinger (K-G-S) equations. In the case of one dimensional spatial and continuous time, a semi-discrete numerical algorithm is constructed to find optimal control of the nonlinear dynamics system. Furthermore, numerical experiments are implemented to show the effectiveness and convergency of proposed scheme for different parameters.