Superfluid and magnetic states of an ultracold Bose gas with synthetic three-dimensional spin-orbit coupling in an optical lattice

Abstract

We study ultracold bosonic atoms with the synthetic three-dimensional spin-orbit (SO) coupling in a cubic optical lattice. In the superfluidity phase, the lowest energy band exhibits one, two or four pairs of degenerate single-particle ground states depending on the SO-coupling strengths, which can give rise to the condensate states with spin-stripes for the weak atomic interactions. In the deep Mott-insulator regime, the effective spin Hamiltonian of the system combines three-dimensional Heisenberg exchange interactions, anisotropy interactions and Dzyaloshinskii-Moriya interactions. Based on Monte Carlo simulations, we numerically demonstrate that the resulting Hamiltonian with an additional Zeeman field has a rich phase diagram with spiral, stripe, vortex crystal, and especially Skyrmion crystal spin-textures in each xy-plane layer. The obtained Skyrmion crystals can be tunable with square and hexagonal symmetries in a columnar manner along the z axis, and moreover are stable against the inter-layer spin-spin interactions in a large parameter region.

9 pages, 4 figures; title modified, references and discussions added; accepted by PRA

References in corpus (22)

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• Spontaneous Skyrmion Ground States in Magnetic Metals
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
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• Wilson Fermions and Axion Electrodynamics in Optical Lattices
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• Three-dimensional skyrmion states in thin films of cubic helimagnets
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• Topological transport in a spin-orbit coupled bosonic Mott insulator
• Particle number fractionalization of a one-dimensional atomic Fermi gas with synthetic spin-orbit coupling
• Skyrmion in spinor condensates and its stability in trap potentials
• Mott insulators in plaquettes

Cited by in corpus (16)

• Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice
• Phase separation in a spin-orbit coupled Bose-Einstein condensate
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• The XYZ chain with Dzyaloshinsky-Moriya interactions: from spin-orbit-coupled lattice bosons to interacting Kitaev chains
• Spontaneous symmetry breaking in a spin-orbit coupled $f=2$ spinor condensate
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
• Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice
• Helical and skyrmion lattice phases in three-dimensional chiral magnets: Effect of anisotropic interactions
• Superfluid-Mott insulator transition in spin-orbit coupled Bose-Hubbard Model
• Symmetry protected skyrmions in 3D spin-orbit coupled Bose gases
• An Effective Potential Theory for Transport Coefficients Across Coupling Regimes
• Spin Hall Effect in a Spinor Dipolar Bose-Einstein Condensate
• Dynamics of spin-orbit-coupled cold atomic gases in a Floquet lattice with an impurity
• Helical superfluid in a frustrated honeycomb Bose-Hubbard model
• Magnetic and nematic phases in a Weyl type spin-orbit-coupled spin-1 Bose gas
• Simulation of the many-body dynamical quantum Hall effect in an optical lattice