Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates

Abstract

We demonstrate that the three-dimensional Skyrmion, which has remained elusive so far, spontaneously appears as the ground state of $SU$(2) symmetric Bose-Einstein condensates coupled with a non-Abelian gauge field. The gauge field is a three-dimensional analogue of the Rashba spin-orbit coupling. Upon squashing the SO(3) symmetric gauge field to one- or two-dimensional shapes, we find that the ground state continuously undergoes a change from a three-dimensional to a one- or two-dimensional Skyrmion, which is identified by estimating winding numbers and helicity. All of the emerged Skyrmions are physically understandable with the concept of the helical modulation in a unified way. These topological objects might potentially be realizable in two-component BECs experimentally.

5 pages, 3 figures

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Cited by in corpus (106)

• Light-induced gauge fields for ultracold atoms
• Spinor Bose-Einstein condensates
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Topological quantum matter with cold atoms
• Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates
• The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
• Gap solitons in the spin-orbit coupled Bose-Einstein condensates
• Magnetically generated spin-orbit coupling for ultracold atoms
• Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
• Unconventional states of bosons with synthetic spin-orbit coupling
• Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
• Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
• Soliton gyroscopes in media with spatially growing repulsive nonlinearity
• Transmutation from Skyrmions to Half-Solitons Driven by the Nonlinear Optical Spin-Hall Effect
• Two- and one-dimensional gap solitons in spin-orbit-coupled systems with Zeeman splitting
• Matryoshka Skyrmions
• Matter-wave dark solitons and their excitation spectra in spin-orbit coupled Bose-Einstein condensates
• Skyrmion Formation and Optical Spin-Hall Effect in an Expanding Coherent Cloud of Indirect Excitons
• Nonlinear modes in binary bosonic condensates with the pseudo-spin-orbital coupling
• Creating solitons by means of spin-orbit coupling
• Incarnations of Skyrmions
• Spin-orbit-coupled Bose-Einstein condensates held under toroidal trap
• Three-dimensional hybrid vortex solitons
• Wall-vortex composite solitons in two-component Bose-Einstein condensates
• Phase diagrams and Thomas-Fermi estimates for spin-orbit coupled Bose-Einstein Condensates under rotation
• Optical excitations of Skyrmions, knotted solitons, and defects in atoms
• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• Stable nonlinear modes sustained by gauge fields
• Energetic stability of coreless vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Structure of two-component Bose-Einstein condensates with respective vortex-antivortex superposition states
• Vortex states and spin textures of rotating spin-orbit-coupled Bose-Einstein condensates in a toroidal trap
• Vortex pairs in a spin-orbit coupled Bose-Einstein condensate
• Beating dark-dark solitons and Zitterbewegung in spin-orbit coupled Bose-Einstein condensates
• Twisted spin vortices in a spinor-dipolar Bose-Einstein condensate with Rashba spin-orbit coupling
• Structured hetero-symmetric quantum droplets
• Exotic pairing states in a Fermi gas with three-dimensional spin-orbit coupling
• Superfluid and magnetic states of an ultracold Bose gas with synthetic three-dimensional spin-orbit coupling in an optical lattice
• Stability and internal structure of vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing
• Fractional instantons and bions in the principal chiral model on ${\mathbb{R}}^2\times S^1$ with twisted boundary conditions
• Dirac monopoles with polar-core vortex induced by spin-orbit coupling in spinor Bose-Einstein condensates
• Tunneling-assisted Spin-orbit Coupling in Bilayer Bose-Einstein Condensates
• Bright soliton dynamics in Spin Orbit-Rabi coupled Bose-Einstein condensates
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Quantum nucleation of topological solitons
• $\mathbb{C}{P}^2$ Skyrmion Crystals in an SU(3) Magnet with a Generalized Dzyaloshinskii-Moriya Interaction
• Winding Hopfions on R^2 x S^1
• Topological interface physics of defects and textures in spinor Bose-Einstein condensates
• Skyrmions confined as beads on a vortex ring
• Topological excitations in rotating Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling in a two-dimensional optical lattice
• Moving obstacle potential in a spin-orbit-coupled Bose-Einstein condensate
• Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential
• Nonlinear waves in coherently coupled Bose-Einstein condensates
• Stable core symmetries and confined textures for a vortex line in a spinor Bose-Einstein condensate
• Three-Dimensional Spin-Orbit Coupling in a Trap
• Spin-Orbit Coupled Bose Gases at Finite Temperatures
• Drag force on a moving impurity in a spin-orbit coupled Bose-Einstein condensate
• Symmetry protected skyrmions in 3D spin-orbit coupled Bose gases
• Multicriticality, Metastability, and Roton Feature in Bose-Einstein Condensates with Three-Dimensional Spin-Orbit Coupling
• Spin Hall Effect in a Spinor Dipolar Bose-Einstein Condensate
• Bessel Vortices in Spin-Orbit-Coupled Binary Bose-Einstein Condensates with Zeeman Splitting
• An Effective Potential Theory for Transport Coefficients Across Coupling Regimes
• Solitary waves in the Nonlinear Dirac Equation
• Spin-orbit coupled spin-1 Bose-Einstein condensate flow past an obstacle in the presence of a Zeeman field
• Fulde-Ferrell-Larkin-Ovchinnikov state to topological superfluidity transition in bilayer spin-orbit coupled degenerate Fermi gas
• Synthetic superfluid chemistry with vortex-trapped quantum impurities
• Vortices and vortex states in Rashba spin-orbit-coupled condensates
• Imprinting a topological interface using Zeeman shifts in an atomic spinor Bose-Einstein condensate
• Gap and embedded solitons in microwave-coupled binary condensates
• Solitary Waves in a Discrete Nonlinear Dirac equation
• Ground states of a Bose-Einstein Condensate in a one-dimensional laser-assisted optical lattice
• Validity of Gross-Pitaevskii solutions of harmonically confined BEC gases in reduced dimensions
• Skyrmion-string defects with arbitrary topological charges in spinor Bose-Einstein condensates
• Density profiles of two-component Bose-Einstein condensates interacting with a Laguerre-Gaussian Beam
• Energy-level inversion for vortex states in spin-orbit coupled Bose-Einstein condensates
• Topological defects of spin-orbit coupled Bose-Einstein condensates in a rotating anharmonic trap
• Baryonic handles: Skyrmions as open vortex strings on a domain wall
• The in-plane gradient magnetic field induced vortex lattices in spin-orbit coupled Bose-Einstein condensations
• Tuning of non-paraxial effects of the Laguerre-Gaussian beam interacting with the two-component Bose-Einstein condensates
• Tunable energy-level inversion in spin-orbit-coupled Bose-Einstein condensates
• Motion of an Impurity in a Bose-Einstein Condensate with Weyl Spin-Orbit Coupling: Non-collinear Drag Force and Anisotropic Critical Velocity
• Stable knots in the trapped Bose-Einstein condensates
• Magnetic and nematic phases in a Weyl type spin-orbit-coupled spin-1 Bose gas
• Photonic Shankar skyrmion
• Bessel Vortices in Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates
• Solitonic ground state in supersymmetric theory in background
• Spin dynamics of large-spin (spinor) fermions in a harmonic trap
• Sinusoidal magnetic field induced topological excitations in a spin-orbit coupled spinor condensate
• Topological defects in rotating spin-orbit-coupled dipolar spin-1 Bose-Einstein condensates
• Spontaneous symmetry breaking of dual-layer solitons in spin-orbit-coupled Bose-Einstein condensates
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
• Robust Dynamics of Rogue waves, Breathers and Mixed Bound State Solutions in Spin-Orbit and Rabi Coupled Condensates
• Baby Skyrmion in two-component holographic superfluids
• Magnetization induced skyrmion dynamics of a spin-orbit-coupled spinor condensate under sinusoidally varying magnetic field
• Dipolar-drift and collective instabilities of skyrmions in crossed nonuniform electric and magnetic fields in a chiral magnetic insulator
• Linked vortices as baryons in the miscible BEC-Skyrme model
• Skyrmion crystals in the pseudo-spin-1/2 Bose-Einstein condensates
• Hydrodynamic generation of skyrmions in a two-component Bose-Einstein condensate
• Bose-Einstein condensates in the presence of Weyl spin-orbit coupling
• Stabilizing the false vacuum: Mott skyrmions
• Dragging spin-orbit-coupled solitons by a moving optical lattice
• Stability of highly-twisted Skyrmions from contact topology
• Spin Excitation Spectra of Spin-Orbit Coupled Bosons in Optical Lattice
• Carbon-dioxide-like Skyrmion controlled by spin-orbit coupling in atomic-molecular Bose-Einstein condensates