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Precise control of quantum particles is required for many interesting ornovel experiments. Here we consider the task of transporting an atom using anexternal harmonic potential from one well of an optical lattice to anotherwithout motional excitations. To achieve this we apply techniques fromShortcuts to Adiabaticity (STA) enabling fast and robust state manipulation.The process is split up into three independent building blocks; first the atomis loaded into an additional external harmonic trap; this trap is thentransported from one lattice site to another and finally the atom is unloadedback onto the lattice by opening the external harmonic trap. We designprotocols for each of these building blocks separately using invariant-basedinverse engineering. Additionally we extend this method to the transport of aBose-Einstein condensate described by the Gross-Pitaevskii equation.

Transport of atoms across an optical lattice using an external harmonic potential