Optimal Control of the Electronic Current Density - An application to one- and two-dimensional one-electron systems

摘要

Quantum optimal control theory is a powerful tool for engineering quantumsystems subject to external fields such as the ones created by intense lasers.The formulation relies on a suitable definition for a target functional, thattranslates the intended physical objective to a mathematical form. We proposethe use of target functionals defined in terms of the one-particle density andits current. A strong motivation for this is the possibility of usingtime-dependent density-functional theory for the description of the systemdynamics. We exemplify this idea by defining an objective functional that onone hand attempts a large overlap with a target density and on the other handminimizes the current. The latter requirement leads to optimized states withincreased stability, which we prove with a few examples of one- andtwo-dimensional one-electron systems.