Optimal quantum control of Bose-Einstein condensates in magnetic microtraps: Consideration of filter effects

TL;DR

This paper develops optimal control protocols for Bose-Einstein condensates in magnetic microtraps, explicitly considering filter effects that distort control signals, and shows that typical filters do not significantly reduce protocol fidelity.

Contribution

It introduces a method to incorporate filter effects into optimal control theory for Bose-Einstein condensates, enhancing experimental applicability.

Findings

Filter effects have minimal impact on control fidelity.

The proposed method successfully manipulates condensates despite filters.

Protocols are effective for state transitions in Bose-Einstein condensates.

Abstract

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.