States of one and two atoms in a rotating ring lattice

We study the states of one and two bosonic atoms in a rotating ring lattice using a Hubbard type model, including phases on the tunneling matrix elements that depend on the rotation speed. The combination of the topology of the ring and the twisting boundary conditions of the wave functions due to the rotation leads to a rich phenomenology and novel methods to control the atoms in the lattice. For instance, the physics qualitatively depends on the parity of the number of lattice sites, and one can tailor the preparation of both one-atom and lattice dimer states by varying the rotation speed.