Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity

Abstract

Motivated by the experimental realization of synthetic spin-orbit coupling for ultracold atoms, we investigate the phase diagram of the Bose Hubbard model in a non-abelian gauge field in two dimensions. Using a strong coupling expansion in the combined presence of spin-orbit coupling and tunable interactions, we find a variety of interesting magnetic Hamiltonians in the Mott insulator (MI), which support magnetic textures such as spin spirals and vortex and Skyrmion crystals. An inhomogeneous mean field treatment shows that the superfluid (SF) phases inherit these exotic magnetic orders from the MI and display, in addition, unusual modulated current patterns. We present a slave boson theory which gives insight into such intertwined spin-charge orders in the SF, and discuss signatures of these orders in Bragg scattering, in situ microscopy, and dynamic quench experiments.

4 pages + references + supplementary info

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Cited by in corpus (131)

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• Enhanced Stability of Skyrmions in Two-Dimensional Chiral Magnets with Rashba Spin-Orbit Coupling
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• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Anderson Localization of cold atomic gases with effective spin-orbit interaction in a quasiperiodic optical lattice
• Supersolid with nontrivial topological spin textures in spin-orbit-coupled Bose gases
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Cavity-quantum-electrodynamical toolbox for quantum magnetism
• Spin Orbit Coupling in Periodically Driven Optical Lattices
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• The evolution of magnetic structure driven by a synthetic spin-orbit coupling in two-component Bose-Hubbard model
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates
• Quasi-one-dimensional spin-orbit- and Rabi-coupled bright dipolar Bose-Einstein-condensate solitons
• Polar molecules in frustrated triangular ladders
• Multipartite entanglement at dynamical quantum phase transitions with non-uniformly spaced criticalities
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• Exotic Vortex States with Discrete Rotational Symmetry in Atomic Fermi Gases with Spin-Orbital-Angular-Momentum Coupling
• Superfluid Breakdown and Multiple Roton Gaps in Spin-Orbit Coupled Bose-Einstein Condensates on an Optical Lattice
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• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint
• Rashba-type Spin-orbit Coupling in Bilayer Bose-Einstein Condensates
• Spin-orbit Coupling in Optical lattices
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• Nature of Lattice Distortions in Cubic Double-Perovskite Ba${}_2$NaOsO${}_6$
• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
• Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
• Bose-Bose Mixtures with Synthetic Spin-Orbit Coupling in Optical Lattices
• The Pairing of Spin-orbit Coupled Fermi Gas in Optical Lattice
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• Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
• Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields
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• Hubbard model with Rashba or Dresselhaus spin-orbit coupling and Rotated Anti-ferromagnetic Heisenberg Model
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• Quantum phases of spin-orbital-angular-momentum coupled bosonic gases in optical lattices
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• From antiferromagnetic order to magnetic textures in the two dimensional Fermi Hubbard model with synthetic spin orbit interaction
• Dynamics of spin-orbit-coupled cold atomic gases in a Floquet lattice with an impurity
• Many-Body Phases of a Planar Bose-Einstein Condensate with Cavity-Induced Spin-Orbit Coupling
• Generating an effective magnetic lattice for cold atoms
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• Chiral orbital magnetism of $p$-orbital bosons in optical lattices
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• Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field
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• Itinerant surfaces with spin-orbit couplings, correlations and external magnetic fields: Exact results
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• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
• Spin-orbit coupling driven superfluid states in optical lattices at zero and finite temperatures