Localisation of interacting Bose-Einstein Condensates expanding in a 1D random potential created by laser speckle

We have studied the 1D expansion of a coherent interacting matter wave (a Bose-Einstein condensate) in the presence of disorder. Well controlled 1D random potentials are produced with laser speckle patterns. We observe the suppression of the transport of the BEC in the random potential, and we study this localisation phenomenon as a function of the parameters of the random potential. A theoretical analysis and numerical simulations allow us to interpret the observed behaviours.