Long-wavelength optical lattices from optical beatnotes: Theory and applications

We describe the properties of trapping potentials for ultracold atoms realized with two or more optical lattices with commensurate wavelenghts. We show the realization of periodic potentials with effective lattice spacings of arbitrarily large separations, array of double wells potentials and new methods to load a cloud in the single lattice of a standard lattice for studies of physics in 2Dimensions. We prove how this new class of optical potential is a promising tool for many applications ranging from quantum simulation and quantum sensing with ultra-cold atoms.