Three-body on-site interactions in ultracold bosonic atoms in optical lattices and superlattices

摘要

The Mott-insulator–superfluid transition for ultracold bosonic atoms in an optical lattice has been extensivelynstudied in the framework of the Bose-Hubbard model with two-body on-site interactions. In this paper, wenanalyze the additional effect of the three-body on-site interactions on this phase transition in an optical latticenand the transitions between the various phases that arise in an optical superlattice. Using the mean-field theorynand the density matrix renormalization group method, we find the phase diagrams depicting the relationshipsnbetween various physical quantities in an optical lattice and superlattice.We also propose a possible experimentalnsignature to observe the on-site three-body interactions.