Effects of an attractive three body interaction on a spin-1 Bose Hubbard model

Abstract

We study the effects of an attractive three body interaction potential on a spin-1 ultracold Bose gas using mean field approach (MFA). For an antiferromagnetic (AF) interaction, the third MI lobe is predominantly affected, where it completely engulfs the second and the fourth MI lobes at large values of the interaction strength. Albeit no significant change is observed beyond the fourth MI lobe. The formation of the spin singlet (nematic) MI phase and the different order of phase transitions to the SF phase have been carefully scrutinized with the help of spin eigenvalues and spin nematic order parameter. In the ferromagnetic case, the phase diagram shows similar features as that of a scalar Bose gas. We have compared our results on the MFA phase diagrams for both types of the interaction potential via a perturbation expansion in both the cases.

arXiv commentarXiv admin note: text overlap with arXiv:1711.04283

References in corpus (38)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• 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
• Synthetic gauge fields in synthetic dimensions
• Exact Eigenstates and Magnetic Response of Spin-1 and Spin-2 Vectorial Bose-Einstein Condensates
• Spin-exchange interactions of spin-one bosons in optical lattices: singlet, nematic and dimerized Phases
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• Spin correlation and Discrete symmetry in Spinor Bose-Einstein Condensates
• Mean field ground state of a spin-1 condensate in a magnetic field
• Spontaneous spin textures in dipolar spinor condensates
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Spontaneous Circulation in Ground-State Spinor Dipolar Bose-Einstein Condensates
• Tricriticalities and Quantum Phases in Spin-Orbit-Coupled Spin-$1$ Bose Gases
• Superfluid-Mott Insulator Transition of Spin-1 Bosons in an Optical Lattice
• First-order superfluid-Mott insulator transition of spinor bosons in an optical lattice
• Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices
• Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory
• Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
• Striped Ferronematic ground states in a spin-orbit coupled $S=1$ Bose gas
• First order phase transitions in optical lattices with tunable three-body onsite interaction
• Disordered spinor Bose-Hubbard model
• Interacting spin-1 bosons in a two-dimensional optical lattice
• Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices
• 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
• Real space mean-field theory of a spin-1 Bose gas in synthetic dimensions
• Interaction driven exotic quantum phases in spin-orbit coupled spin$-1$ bosons
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Magnetic phases of spin-1 lattice gases with random interactions
• Spin-1 bosons in an external magnetic field and a three body interaction potential
• Spin-1 Bose Hubbard model with nearest neighbour extended interaction
• Competing exotic quantum phases of spin-$1/2$ ultra-cold lattice bosons with extended spin interactions
• Spin-1 Bose-Hubbard model with two- and three-body interactions
• Quantum phases of a spin-1 ultracold Bose gas with three body interactions