Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory

Abstract

We generalize the mean-field theory for the spinless Bose-Hubbard model to account for the different types of superfluid phases that can arise in the spin-1 case. In particular, our mean-field theory can distinguish polar and ferromagnetic superfluids, Mott insulators which arise at integer fillings at zero temperature, and normal Bose liquids into which the Mott insulators evolve at finite temperatures. We find, in contrast to the spinless case, that several of the superfluid-Mott insulator transitions are first-order at finite temperatures. Our systematic study yields rich phase diagrams that include, first-order and second-order transitions, and a variety of tricritical points. We discuss the possibility of realizing such phase diagrams in experimental systems.

arXiv comment11 pages, 11 figures

References in corpus (17)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Theory of Bose-Einstein condensation in trapped gases
• Cold bosonic atoms in optical lattices
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Spinor Bose Condensates in Optical Traps
• Optical Confinement of a Bose-Einstein Condensate
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Quantum spins mixing in spinor Bose-Einstein condensates
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Optical dipole traps and atomic waveguides based on Bessel light beams
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
• Search for the Nondimerized Quantum Nematic Phase in the Spin-1 Chain
• First-order superfluid-Mott insulator transition of spinor bosons in an optical lattice
• Spin-1 bosons with coupled ground states in optical lattices
• First- and second-order superfluid--Mott-insulator phase transitions of spin-1 bosons with coupled ground states in optical lattices

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• Ultracold bosons with short-range interaction in regular optical lattices
• Dipolar and spinor bosonic systems
• Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
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• First-order superfluid to Mott-insulator phase transitions in spinor condensates
• Mean field analysis of quantum phase transitions in a periodic optical superlattice
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint
• Ground state phase diagram of spin-1/2 bosons in a two-dimensional optical lattice
• The Inhomogeneous Extended Bose-Hubbard Model: A Mean-Field Theory
• Bose-Einstein condensation and critical behavior of two-component bosonic gases
• Bose-Hubbard Models in Confining Potentials: An Inhomogeneous Mean-Field Theory
• Fluctuation-induced and symmetry-prohibited metastabilities in spinor Bose-Einstein condensates
• Magnetic phase transitions of spin-1 ultracold bosons in a cubic optical lattice
• Mean-Field Analysis of Spinor Bosons in Optical Superlattices
• Phase diagram and multicritical behaviors of mixtures of 3D bosonic gases
• Interaction driven exotic quantum phases in spin-orbit coupled spin$-1$ bosons
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Monte Carlo Study of an Inhomogeneous Blume-Capel Model
• Strong coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Percolation analysis of a disordered spinor Bose gas
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Coupled two-component atomic gas in an optical lattice
• Trimer superfluid and supersolid on two-dimensional optical lattices
• Finite temperature phase diagram of spin-1/2 bosons in two-dimensional optical lattice
• Singlet Mott State Simulating the Bosonic Laughlin Wave Function
• Trimer superfluid induced by photoassocation on the state-dependent optical lattice
• Coupling internal atomic states in a two-component Bose-Einstein condensate via an optical lattice: Extended Mott-superfluid transitions
• Ground-states of spin-1 bosons in asymmetric double-wells
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
• Two-state Bose-Hubbard model in the hard-core boson limit
• Strongly Spinor Ferromagnetic Bose Gases
• Spin-1 bosons in an external magnetic field and a three body interaction potential
• Spin-1 Bose Hubbard model with nearest neighbour extended interaction
• Isentropes of spin-1 bosons in an optical lattice
• Phase transitions and spin excitations of spin-1 bosons in optical lattice
• Spin-1 Bose-Hubbard model with two- and three-body interactions
• Quantum phases of a spin-1 ultracold Bose gas with three body interactions
• Phonon-like excitations in the two-state Bose-Hubbard model
• Quantum entanglement of spin-1 bosons with coupled ground states in optical lattices
• Coupled First-Order Transitions In A Fermi-Bose Mixture
• Ground state properties of the disordered spin-one Bose-Hubbard model: a stochastic mean-field theory study
• Spinor bosons in optical superlattices: a numerical study
• Effects of an attractive three body interaction on a spin-1 Bose Hubbard model
• Bose-Einstein condensation and/or modulation of "displacements" in the two-state Bose-Hubbard model
• Dynamic response of spin-2 bosons in one-dimensional optical lattices
• Coleman-Weinberg mechanism in spinor Bose-Einstein condensates