  We present the first rigorous result on Anderson localization for interacting
systems of quantum particles subject to a deterministic (e.g., almost periodic)
disordered external potential. For a particular class of deterministic,
fermionic, Anderson-type Hamiltonians on the lattice of an arbitrary dimension,
and for a large class of underlying dynamical systems generating the external
potential, we prove that the spectrum is pure point, all eigenstates are
unimodal and feature a uniform exponential decay. In contrast to all prior
mathematical works on multi-particle Anderson localization, we do not use the
induction on the number of particles.
