  In this paper, we present a theoretical and numerical analysis of the free
expansion of a Bose-Einstein condensate, where we assume that the single
particle energy spectrum is deformed due to a possible quantum structure of
spacetime. Also, we consider the presence of interparticle interactions in
order to study more realistic and specific scenarios. The modified free
velocity expansion of the condensate leads in a natural way to a modification
of the uncertainty principle, which allows us to investigate some possible
features of the Planck scale regime in low-energy earth-based experiments.
