Wave properties of neutral atoms naturally emerge as they are cooled down to temperatures close to the absolute zero. In this regime, their dynamics is governed by single-particle quantum effects such as the tunnel effect as well as by many-particle quantum effects such as interactions and entanglement. We investigate, from a theoretical point of view, the dynamics of ultracold atoms, matter-wave solitons, and Bose-Einstein condensates trapped in optical potentials with a special focus on designing protocols for an efficient and robust transport of ultracold atoms to be used in matter wave interferometry and atomtronic devices.

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