Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling

Abstract

We study the Mott phase of three-component bosons, with one particle per site, in an optical lattice by mapping it onto an SU(3) spin model. In the simplest case of full SU(3) symmetry, one obtains a ferromagnetic Heisenberg model. Introducing an SU(3) analog of spin-orbit coupling, additional spin-spin interactions are generated. We first consider the scenario of spin-dependent hopping phases, leading to Dzyaloshinskii-Moriya-type interactions. They result in the formation of spiral spin textures, which in one dimension can be understood by a local unitary transformation. Applying classical Monte Carlo simulations, we extend our study to two-dimensional systems, and systems with "true" spin-orbit coupling, involving spin-changing hoppings.

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Cited by in corpus (11)

• Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
• Double-Quantum Spin Vortices in SU(3) Spin-Orbit Coupled Bose Gases
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• $\mathbb{C}{P}^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
• Computing observables without eigenstates: applications to Bloch Hamiltonians
• Baryon squishing in synthetic dimensions by effective $SU(M)$ gauge fields
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Experimental realization of a SU(3) color-orbit coupling in an ultracold gas
• Cold atoms in U(3) gauge potentials
• $p$ orbitals in 3D lattices; fermions, bosons and (exotic) models of magnetism