Interacting spin-1 bosons in a two-dimensional optical lattice

Abstract

We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of spin-1 bosons trapped in a square optical lattice. The phase diagram is characterized by the mobility of the particles (Mott insulating or superfluid phase) and by their magnetic properties. For ferromagnetic on-site interactions, the whole phase diagram is ferromagnetic and the Mott insulators-superfluid phase transitions are second order. For antiferromagnetic on-site interactions, spin nematic order is found in the odd Mott lobes and in the superfluid phase. Furthermore, the superfluid-insulator phase transition is first or second order depending on whether the density in the Mott is even or odd. Inside the even Mott lobes, we observe a singlet-to-nematic transition for certain values of the interactions. This transition appears to be first order.

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• Spinful bosons in an optical lattice
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• Mott Transition and Spin Structures of Spin-1 Bosons in Two-Dimensional Optical Lattice at Unit Filling
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice

Cited by in corpus (22)

• Ultracold bosons with short-range interaction in regular optical lattices
• Arbitrary perfect state transfer in $d$-level spin chains
• Critical points of the anyon-Hubbard model
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Interaction driven exotic quantum phases in spin-orbit coupled spin$-1$ bosons
• Strong coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Spin nematics next to spin singlets
• Quantum and Thermal Phase Transitions in a Bosonic Atom-Molecule Mixture in a 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
• Phase diagrams and multistep condensations of spin-1 bosonic gases in optical lattices
• Strongly Spinor Ferromagnetic Bose Gases
• Magnetic Phase Transition in the Ground-State Phase Diagram of Binary Bose Gases in Optical Lattices
• Stability of supercurrents in a superfluid phase of spin-1 bosons in an optical lattice
• Phase transitions and spin excitations of spin-1 bosons in optical lattice
• Spin-1 Quantum Walks
• Spin-1 Bose-Hubbard model with two- and three-body interactions
• Quantum phases of a spin-1 ultracold Bose gas with three body interactions
• Effects of an attractive three body interaction on a spin-1 Bose Hubbard model