We theoretically investigate protocols based on optimal control theory (OCT) for manipulating Bose-Einstein condensates in magnetic microtraps, using the framework of the Gross-Pitaevskii equation. In our approach we explicitly account for filter functions that distort the computed optimal control, a situation inherent to many experimental OCT implementations. We apply our scheme to the shakeup process of a condensate from the ground to the first excited state, following a recent experimental and theoretical study, and demonstrate that the fidelity of OCT protocols is not significantly deteriorated by typical filters.
@article{arxiv.1309.1856,
title = {Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Consideration of filter effects},
author = {Georg Jäger and Ulrich Hohenester},
journal= {arXiv preprint arXiv:1309.1856},
year = {2015}
}