  We propose a set-up of optical laser beams by which one may realize a
quasi-one-dimensional Fibonacci array of potential wells for a Bose-Einstein
condensate. We use a Bose-Hubbard tight-binding model to evaluate the transport
of superfluid Rb87 atoms driven by a constant force through such an array. We
show that the minigaps that are generated in the spectral density-of-states by
the quasi-periodic disorder give rise to prominent localization effects, which
can be observed by measuring the tunnel output of matter into vacuum as a
function of the intensity of the applied force.
