34 research outputs found
Analytical solution for optimal squeezing of wave packet of a trapped quantum particle
Optimal control problem with a goal to squeeze wave packet of a trapped
quantum particle is considered and solved analytically using adiabatic
approximation. The analytical solution that drives the particle into a highly
localized final state is presented for a case of an infinite well trapping
potential. The presented solution may be applied to increase the resolution of
atom lithography
Optimal control of electromagnetic field using metallic nanoclusters
The dielectric properties of metallic nanoclusters in the presence of an
applied electromagnetic field are investigated using non-local linear response
theory. In the quantum limit we find a non-trivial dependence of the induced
field and charge distribution on the spatial separation between the clusters
and on the frequency of the driving field. Using a genetic algorithm, these
quantum functionalities are exploited to custom-design sub-wavelength lenses
with a frequency controlled switching capability.Comment: accepted for publication in New Journal of Physic