We design optimal trajectories to transport cold atoms in anharmonic traps, combining invariant-based inverse engineering, perturbation theory, and optimal control theory. The anharmonic perturbation energy is minimized constraining the maximally allowed relative displacement between the trap center and the atom.
@article{arxiv.1602.04643,
title = {Optimal shortcuts for atomic transport in anharmonic traps},
author = {Qi Zhang and J. G. Muga and D. Guéry-Odelin and Xi Chen},
journal= {arXiv preprint arXiv:1602.04643},
year = {2016}
}