Disordered Bose-Fermi mixtures: from fermi glasses to spin glasses and quantum percolation

The physics of cold atoms approaches nowadays the frontiers of modern condensed matter physics. In particular many important challenges of this disciplin can be addressed within the context of cold atoms [1]. In this talk, I shall present first a brief review of some of these challenges. I will focus then on those that could be addressed by using Bose-Fermi mixtures in the presence of disorder. Specifically I will discuss in this context the possibilities of realizing Fermi glasses, spin glasses and quantum percolation [2].