Creating vortex rings and three-dimensional skyrmions in Bose-Einstein condensates

Abstract

We propose a method of generating a vortex ring in a Bose-Einstein condensate by means of electromagnetically-induced atomic transitions. Some remnant population of atoms in a second internal state remains within the toroidal trap formed by the mean field repulsion of the vortex ring. This population can be removed, or it can be made to flow around the torus (i.e. within the vortex ring). If this flow has unit topological winding number, the entire structure formed by the two condensates is an example of a three-dimensional skyrmion texture.

4 pages; to appear in PRL

Cited by in corpus (147)

• Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
• Topological quantum matter with cold atoms
• Coreless vortex formation in a spinor Bose-Einstein condensate
• Vortex knots in light
• Stable spinning optical solitons in three dimensions
• Vortices in multicomponent Bose-Einstein condensates
• Stationary ring solitons in field theory - knots and vortons
• Particle-like topologies in light
• Vortex solitons: Old results and new perspectives
• Creation and detection of skyrmions in a Bose-Einstein condensate
• Stable Skyrmions in two-component Bose-Einstein condensates
• Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
• Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
• Spin textures in rotating two-component Bose-Einstein condensates
• Multidimensional solitons: Well-established results and novel findings
• Energetically stable particle-like Skyrmions in a trapped Bose-Einstein condensate
• Particle number fractionization of an atomic Fermi-Dirac gas in an optical lattice
• Transfer and storage of vortex states in light and matter waves
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Creation of Dirac monopoles in spinor Bose-Einstein condensates
• Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
• A classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate
• Monopole core instability and Alice rings in spinor Bose-Einstein condensates
• Soliton gyroscopes in media with spatially growing repulsive nonlinearity
• Spin textures in slowly rotating Bose-Einstein Condensates
• Skyrmion Physics in Bose-Einstein Ferromagnets
• Engineering vortex rings and systems for controlled studies of vortex interactions in Bose-Einstein condensates
• Matryoshka Skyrmions
• Stable particlelike solitons with multiply-quantized vortex lines in Bose-Einstein condensates
• Computation of topological charges of optical vortices via non-degenerate four-wave-mixing
• Dirac monopoles and dipoles in ferromagnetic spinor Bose-Einstein condensates
• Hexagonal close-packed polar-skyrmion lattice in ultrathin ferroelectric PbTiO3 films
• Dynamical and energetic instabilities in multi-component Bose-Einstein condensates in optical lattices
• Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
• Incarnations of Skyrmions
• Capillary instability in a two-component Bose-Einstein condensate
• Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate
• Three-dimensional hybrid vortex solitons
• Quantum dynamics in splitting a harmonically trapped Bose-Einstein condensate by an optical lattice: Truncated Wigner approximation
• Bending-wave Instability of a Vortex Ring in a Trapped Bose-Einstein Condensate
• Universal scaling at non-thermal fixed points of a two-component Bose gas
• Creating two-dimensional bright solitons in dipolar Bose-Einstein condensates
• Excitation of Vortices in Semiconductor Microcavities
• Wall-vortex composite solitons in two-component Bose-Einstein condensates
• Solitary wave complexes in two-component mixture condensates
• Imaging of spinor gases
• Optical excitations of Skyrmions, knotted solitons, and defects in atoms
• Topological interface engineering and defect crossing in ultracold atomic gases
• Manipulating atoms in an optical lattice: Fractional fermion number and its optical quantum measurement
• Half-Skyrmion Spin Textures In Polariton Microcavities
• Numerical Study of the stability of Skyrmions in Bose-Einstein Condensates
• Pinning and collective modes of a vortex lattice in a Bose-Einstein condensate
• Tuning universality far from equilibrium
• Energetic stability of coreless vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with Deflated continuation
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Analogues of D-branes in Bose-Einstein condensates
• Andreev-Bashkin effect and knot solitons in interacting mixture of a charged and a neutral superfuids with possible releveance for neutron stars
• Skyrmion Excitation in Two-Dimensional Spinor Bose-Einstein Condensate
• Stable Skyrmions in spinor condensates
• Dynamics of bubbles in a two-component Bose-Einstein condensate
• Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics
• 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
• Inducing vortices in a Bose-Einstein condensate using holographically produced light beams
• Fractional instantons and bions in the principal chiral model on ${\mathbb{R}}^2\times S^1$ with twisted boundary conditions
• Scattering and leapfrogging of vortex rings in a superfluid
• Robust Vortex Lines, Vortex Rings and Hopfions in 3D Bose-Einstein Condensates
• Tunneling-assisted Spin-orbit Coupling in Bilayer Bose-Einstein Condensates
• Topological Excitations in Spinor Bose-Einstein Condensates
• Decay of a Quantum Knot
• Braiding and fusion of non-Abelian vortex anyons
• Pulsating and persistent vector solitons in a Bose-Einstein condensate in a lattice upon phase separation instability
• Three-dimensional skyrmions in spin-2 Bose-Einstein condensates
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Optical tweezers for vortex rings in Bose-Einstein condensates
• Stable Hopf solitons in rotating Bose-Einstein condensates
• Theory of Ultracold Superstrings
• Vortex Rings in two Component Bose-Einstein Condensates
• Deflation-based Identification of Nonlinear Excitations of the 3D Gross--Pitaevskii equation
• Topological interface physics of defects and textures in spinor Bose-Einstein condensates
• Reinterpretation of Faddeev-Niemi Knot in Skyrme Theory
• Skyrmions confined as beads on a vortex ring
• A route to non-Abelian quantum turbulence in spinor Bose-Einstein condensates
• Topological Objects in Two-component Bose-Einstein Condensates
• Stable core symmetries and confined textures for a vortex line in a spinor Bose-Einstein condensate
• Spinor dynamics in a mixture of spin-1 and spin-2 Bose-Einstein condensates
• On the Bifurcation and Stability of Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates
• Topological optical skyrmion transfer to matter
• Existence, Stability and Dynamics of Monopole and Alice Ring Solutions in Anti-Ferromagnetic Spinor Condensates
• Exact results on the dynamics of multi-component Bose-Einstein condensate
• Generating vortex rings in Bose-Einstein condensates in the line-source approximation
• Excitation picture of an interacting Bose gas
• Particle number fractionalization of a one-dimensional atomic Fermi gas with synthetic spin-orbit coupling
• Symmetry protected skyrmions in 3D spin-orbit coupled Bose gases
• Decay of an isolated monopole into a Dirac monopole configuration
• Three-dimensional solitons in coupled atomic-molecular Bose-Einstein condensates
• On Two-Component Dark-Bright Solitons in Three-dimensional Atomic Bose-Einstein Condensates
• Skyrmion-like excitations in dynamical lattices
• Synthetic superfluid chemistry with vortex-trapped quantum impurities
• Quantum Atom Optics: Theory and Applications to Quantum Technology
• Controlled creation of three-dimensional vortex structures in Bose--Einstein condensates using artificial magnetic fields
• Knot soliton in Weinberg-Salam model
• Imprinting a topological interface using Zeeman shifts in an atomic spinor Bose-Einstein condensate
• Stability and the equation of state for kinky vortons
• Creating superfluid vortex rings in artificial magnetic fields
• New Interpretation of Skyrme Theory
• Creation and dynamics of two-dimensional skyrmions in antiferromagnetic spin-1 Bose-Einstein condensates
• Symmetry-breaking instability of leapfrogging vortex rings in a Bose-Einstein condensate
• Skyrmion-string defects with arbitrary topological charges in spinor Bose-Einstein condensates
• Collective oscillations of a Bose-Einstein condensate induced by a vortex ring
• Creation of a Dirac monopole-antimonopole pair in a spin-1 Bose-Einstein condensate
• Creation and manipulation of quantized vortices in Bose-Einstein condensates using reinforcement learning
• Dynamics of dipoles and vortices in nonlinearly-coupled three-dimensional harmonic oscillators
• Magnetization of a half-quantum vortex in a spinor Bose-Einstein condensate
• Half-knot in the spinor condensates
• Baryonic handles: Skyrmions as open vortex strings on a domain wall
• Magnetic field induced dynamical instabilities in an anti-ferromagnetic spin-1 Bose-Einstein condensate
• Exact calculation of the skyrmion lifetime in a ferromagnetic Bose condensate
• Skyrmion-antiSkyrmion pairs in Ultracold Atomic Gases
• Collision dynamics of Skyrmions in a two-component Bose-Einstein condensate
• Linking number of vortices as baryon number
• Fragmentation, domain formation and atom number fluctuations of a two-species Bose-Einstein condensate in an optical lattice
• Nonlinearity and Topology
• Stable knots in the trapped Bose-Einstein condensates
• Antiferromagnetism in a bosonic mixture of rubidium (${}^{87}$Rb) and potassium (${}^{41}$K)
• Quantum knots in Bose-Einstein condensates created by counterdiabatic control
• Photonic Shankar skyrmion
• Global superfluid phase diagram of three component fermions with magnetic ordering
• New Topological Structures of Skyrme Theory: Baryon Number and Monopole Number
• Structure and dynamics of binary Bose-Einstein condensates with vortex phase imprinting
• Magnetic Vortex induced by Nonmagnetic Impurity in Ferromagnets: Magnetic Multipole and Toroidal around the Vacancy
• Supersonic optical tunnels for Bose-Einstein condensates
• Theory of Multidimensional Solitons
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
• Stable vortex loops in two-species BECs
• Effective field theory for spinor dipolar Bose Einstein condensates
• Hydrodynamic generation of skyrmions in a two-component Bose-Einstein condensate
• Linked vortices as baryons in the miscible BEC-Skyrme model
• Vortices in Bose-Einstein Condensates: Theory
• Existence, Stability and Dynamics of Harmonically Trapped One-Dimensional Multi-Component Solitary Waves: The Near-Linear Limit
• Supersymmetric soliton solution in (1+1)-dimensional Ultracold Quantum Gases
• Knots in Condensed Matters
• Experimental and Theoretical Evidence for Extended Particle Models
• Self-maintaining defect/droplets from two interacting Bose-Einstein condensates
• Topological Excitation in Skyrme Theory
• Controlled generation of 3D vortices in driven atomic Josephson junctions