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.
@article{arxiv.0804.2874,
title = {Analytical solution for optimal squeezing of wave packet of a trapped quantum particle},
author = {Ilya Grigorenko},
journal= {arXiv preprint arXiv:0804.2874},
year = {2009}
}