Incommensurate optical lattice have been implemented with superlattice techniques, which provides a fascinating platform to study Aubry-Andre and Many-body localization physics. The first part of this talk will be devoted to our work on the emergence of nonergodic metal phase that lies between fully many-body localized and thermal phases. I will give an overview about recent cold atom experiments and also numerical machine learning calculations that support the existence of our predicted nonergodic metal phase. The second part is about our recent work using incommensurate lattices for cooling purposes. Previously, adiabatic cooling procedure has been successfully carried out in optical lattices to reach the long-sought-after long-range correlated antiferromagnetic order at half filling, but the doped region having more interesting physics has not been reached adiabatically. We recently solve this problem by considering incommensurate lattices.