  We present a method for the creation of closed-loop lattices for ultra-cold
atoms using dressed potentials. We analytically describe the generation of trap
lattices that are state-dependent, with dynamically controlled lattice depths
and positioning. In a design akin to a synchronous motor, the potentials arise
from the combination of a static, ring-shaped quadrupole field and multipole
radio-frequency fields. Our technique relies solely on static and
radio-frequency (rf) magnetic fields, enabling the creation of robust atom
traps with simple control via rf amplitudes and phases. Potential applications
of our scheme span the range from quantum many-body simulations to guided
Sagnac interferometers.
