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.
Grigorenko
Ilya
I
Theoretical Division T-11, Center for Nonlinear Studies, Center for Integrated Nanotechnologies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA. ilya@lanl.gov