Spin-1 Bosons in optical superlattice

In this paper, we analyze superfluid, insulator and various magnetic phases of ultracold spin-1 bosonic atoms in two-dimensional optical superlattices. Our studies have been performed using Cluster Mean Field Theory. Calculations have been carried out for a wide range of densities and the energy shifts due to the superlattice potential. We find superlattice potential do not change the symmetry of the polar superfluid phases. Superlattice potentials induce Mott insulator phases with half- integer densities. The phase diagram is obtained using superfluid density, nematic order and singlet density. Second order Renyi entanglement entropy is also calculated in different phases. The results show that Renyi entanglement entropy is large in the nematic Mott insulator phase.