Optimal shortcuts for atomic transport in anharmonic traps

TL;DR

This paper develops optimal control strategies for transporting cold atoms in anharmonic traps, minimizing energy perturbations while maintaining precise atom-trap positioning to improve quantum manipulation techniques.

Contribution

It introduces a novel combination of invariant-based inverse engineering, perturbation theory, and optimal control to optimize atomic transport in anharmonic potentials.

Findings

Reduced anharmonic perturbation energy during transport.

Maintained precise control of atom-trap relative displacement.

Enhanced efficiency of atomic transport protocols.

Abstract

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.