Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model

Abstract

The interplay between magnetism and metal-insulator transitions is fundamental to the rich physics of the single band fermion Hubbard model (FHM). Recent progress in experiments on trapped ultra-cold atoms have made possible the exploration of similar effects in the boson Hubbard model (BHM). This paper reports Quantum Monte Carlo (QMC) simulations of the spin-1 BHM in the ground state. In the case of antiferromagnetic interactions, which favor singlet formation within the Mott insulator lobes, we present exact numerical evidence that the superfluid-insulator phase transition is first (second) order depending on whether the Mott lobe is even (odd). In the ferromagnetic case, the transitions are all continuous. We obtain the phase diagram in the case of attractive spin interactions and demonstrate the existence of the ferromagnetic superfluid. We also compare the QMC phase diagram with a third order perturbation calculation.

arXiv commentAdded results

References in corpus (20)

• 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
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Strong-coupling expansions for the pure and disordered bose Hubbard model
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Phase separation in supersolids
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• 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
• First-order superfluid-Mott insulator transition of spinor bosons in an optical lattice
• The Stochastic Green Function (SGF) algorithm
• Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory
• Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices
• Directed update for the Stochastic Green Function algorithm
• Spin-1 bosons with coupled ground states in optical lattices
• Magnetization plateaus for spin-one bosons in optical lattices: Stern-Gerlach experiments with strongly correlated atoms
• Spinful bosons in an optical lattice
• Superfluid vs Ferromagnetic Behaviour in a Bose Gas of Spin-1/2 Atoms

Cited by in corpus (36)

• Spinor Bose-Einstein condensates
• Ultracold bosons with short-range interaction in regular optical lattices
• Ferromagnetism of cold fermions loaded into a decorated square lattice
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• Antiferromagnetic spinor condensates in a two-dimensional optical lattice
• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Critical points of the anyon-Hubbard model
• Disordered spinor Bose-Hubbard model
• Interacting spin-1 bosons in a two-dimensional optical lattice
• First-order superfluid to Mott-insulator phase transitions in spinor condensates
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Ground state phase diagram of spin-1/2 bosons in a two-dimensional optical lattice
• Magnetic phase transitions of spin-1 ultracold bosons in a cubic optical lattice
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Quantum critical dynamics in a spinor Hubbard model quantum simulator
• Mott Transition and Spin Structures of Spin-1 Bosons in Two-Dimensional Optical Lattice at Unit Filling
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Magnetic phase diagram and quantum phase transitions in a two-species boson model
• Spin Josephson vortices in two tunnel coupled spinor Bose gases
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Finite temperature phase diagram of spin-1/2 bosons in two-dimensional optical lattice
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
• Dynamical instability in the S=1 Bose-Hubbard model
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Phase diagrams and multistep condensations of spin-1 bosonic gases in optical lattices
• Spin-1 Bose Hubbard model with nearest neighbour extended interaction
• Isentropes of spin-1 bosons in an optical lattice
• Magnetic Phase Transition in the Ground-State Phase Diagram of Binary Bose Gases in Optical Lattices
• Phase transitions and spin excitations of spin-1 bosons in optical lattice
• Quantum phases of a spin-1 ultracold Bose gas with three body interactions
• Spin-1 Bose-Hubbard model with two- and three-body interactions
• Quantum entanglement of spin-1 bosons with coupled ground states in optical lattices
• Strong-coupling study of spin-1 bosons in square and triangular optical lattice
• Coleman-Weinberg mechanism in spinor Bose-Einstein condensates
• Effects of an attractive three body interaction on a spin-1 Bose Hubbard model