title: Phase diagram of spin-1 bosons on one-dimensional lattices.
abstract: Spinor Bose condensates loaded in optical lattices have a rich phase diagram characterized by different magnetic order. Here we apply the density matrix renormalization group to accurately determine the phase diagram for spin-1 bosons loaded on a one-dimensional lattice. The Mott lobes present an even or odd asymmetry associated to the boson filling. We show that for odd fillings the insulating phase is always in a dimerized state. The results obtained in this work are also relevant for the determination of the ground state phase diagram of the S = 1 Heisenberg model with biquadratic interaction.
authors.affiliation: NEST-INFM and Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy.
authors.forename: Matteo
authors.initials: M
authors.lastname: Rizzi
authors.forename: Davide
authors.initials: D
authors.lastname: Rossini
authors.forename: Gabriele
authors.initials: G
authors.lastname: De Chiara
authors.forename: Simone
authors.initials: S
authors.lastname: Montangero
authors.forename: Rosario
authors.initials: R
authors.lastname: Fazio