Coupling a particle to the collective excitations of a system with many degrees of freedom radically alters the particle's properties. Here, we discuss the dynamics of a single impurity coupled to a Bose-Einstein condensate via a contact interaction. The dynamics of the impurity emulates the disorder-averaged motion of a particle through a random potential. This setup thus provides an alternative experimental and theoretical way to study the effects of quantum disorder with no averaging procedure. In this presentation, we discuss the theoretical study of this model and experimental implications.