  Quantum technologies based on adiabatic techniques can be highly effective,
but often at the cost of being very slow. Here we introduce a set of
experimentally realistic, non-adiabatic protocols for spatial state
preparation, which yield the same fidelity as their adiabatic counterparts, but
on fast timescales. In particular, we consider a charged particle in a system
of three tunnel-coupled quantum wells, where the presence of a magnetic field
can induce a geometric phase during the tunnelling processes. We show that this
leads to the appearance of complex tunnelling amplitudes and allows for the
implementation of spatial non-adiabatic passage. We demonstrate the ability of
such a system to transport a particle between two different wells and to
generate a delocalised superposition between the three traps with high fidelity
in short times.
