By 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.
By Florian Marquardt
By Gary Steele
By Hendrik Bluhm
By Jean-Michel Raimond
By Alain Sarlette
By Sylvain Schwartz
By Sophia Economou
By Klaus Mølmer
By Howard M. Wiseman
By Michel Devoret
By Akira Furusawa
By Yanhong Xiao
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By Nicolas Didier
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By Mankei Tsang
By Aashish Clerk
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By Michael Biercuk
By Thomas Ayral
By Yassine Hamoudi
By Yassine Hamoudi
By Nana Liu
By Nana Liu
