An important role in our proof is played by a variant of Stollmann's eigenvalue concentration bound (cf. [St00]). This result, as was proved earlier in [C08], admits a straightforward extension covering the case of multi-particle systems with correlated external random potentials: a subject of our future work. We also stress that the scheme of our proof is not specific to lattice systems, since our main method, the MSA, admits a continuous version. A proof of multi-particle Anderson localization in continuous interacting systems with various types of external random potentials will be published in a separate papers.

We establish the phenomenon of Anderson localisation for a quantum two-particle system on a lattice Z d with short-range interaction and in presence of an IID external potential with sufficiently regular marginal distribution.

We consider a quantum two-particle system on a lattice Z d with interaction and in presence of an IID external potential. We establish Wegner-typer estimates for such a model. The main tool used is Stollmann's lemma.