Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions

Abstract

Using the density matrix renormalization group method, we studied the ground state of the one-dimensional $S=1$ Bose-Hubbard model with local three-body interactions, which can be a superfluid or a Mott insulator state. We drew the phase diagram of this model for both ferromagnetic and antiferromagnetic interaction. Regardless of the sign of the spin-dependent coupling, we obtained that the Mott lobes area decreases as the spin-dependent strength increases, which means that the even-odd asymmetry of the two-body antiferromagnetic chain is absent for local three-body interactions. For antiferromagnetic coupling, we found that the density drives first-order superfluid-Mott insulator transitions for even and odd lobes. Ferromagnetic Mott insulator and superfluid states were obtained with a ferromagnetic coupling, and a tendency to a "long-range" order was observed.

8 pages, 7 figures. Published version

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Cited by in corpus (10)

• One-dimensional mixtures of several ultracold atoms: a review
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• Two-body repulsive bound pairs in multi-body interacting Bose-Hubbard model
• Effective three-body interactions for bosons in a double-well confinement
• Three-body constrained bosons in double-well optical lattice
• Exploring Many-body Interactions Through Quantum Fisher Information
• Quantum phases of a spin-1 ultracold Bose gas with three body interactions
• Spin-1 Bose-Hubbard model with two- and three-body interactions
• Spinor bosons in optical superlattices: a numerical study
• Effects of an attractive three body interaction on a spin-1 Bose Hubbard model