  Most experiments with ultracold atoms in optical lattices have contact
interactions, and therefore operate at high densities of around one atom per
site to observe the effect of strong interactions. Strong ranged interactions
can be generated via Rydberg dressing, which opens the path to explore the
physics of few interacting particles. Rather than the unit cells of a crystal,
the sites of the optical lattice can now be interpreted as discretized space.
This allows studying completely new types of problems in a familiar
architecture. We investigate the possibility of realizing problems akin to
those found in quantum chemistry, although with a different scaling law in the
interactions. Through numerical simulation, we show that simple pseudo-atoms
and -molecules could be prepared with high fidelity in state-of-the-art
experiments.
