De Alfio Borzi
A Kohn-Sham (KS) model is a system of nonlinear coupled Schrödinger equations that describe multi-particle quantum systems in the framework of the time-dependent density functional theory. In this talk, existence, uniqueness and regularity of solutions to a time-dependent Kohn-Sham model are investigated. Further, in view of control applications, the presence of a control function and of an inhomogeneity are also considered. With this preparation, an optimal control of many-electron systems is formulated where the purpose of the control is to track a desired trajectory of the electronic density and to achieve a desired target configuration. The theory and numerical solution of the resulting KS optimal control problem are discussed. Results of numerical experiments successfully validate the proposed control framework.
De Florian Marquardt
De Gary Steele
De Hendrik Bluhm
De Jean-Michel Raimond
De Alain Sarlette
De Sylvain Schwartz
De Sophia Economou
De Klaus Mølmer
De Howard M. Wiseman
De Michel Devoret
De Akira Furusawa
De Yanhong Xiao
De Alex Retzker
De Nicolas Didier
De Ivan Deutsch
De Mankei Tsang
De Aashish Clerk
De Valentina Parigi
De Rebing Wu
De Michael Biercuk
De Thomas Ayral
De Nana Liu
De Nana Liu
