Spin-1 Bose Hubbard Model With Three Body Interaction And Magnetic Fields

摘要

We explore the effects of a repulsive three body interaction and a synthetic gauge field on a spin-1 ultracold Bose gas on an optical lattice to study the quantum phase transition from a superfluid (SF) to Mott insulating (MI) phase. Both effects being experimentally feasible to achieve, we also add an external Zeeman field to explore an interesting interplay among three of them. A site decoupling mean field technique, known to be an efficient marker of different quantum phases for a spinor Bose Hubbard model, is employed. Without the magnetic fields, the presence of three body interaction stabilizes all the MI lobes, excepting the first one, compared to the SF phase while in presence of the magnetic fields, the spin nematic MI phase makes inroad into the SF phase at the expense of the spin singlet MI phase.