Knots in a Spinor Bose-Einstein Condensate

Abstract

We show that knots of spin textures can be created in the polar phase of a spin-1 Bose-Einstein condensate, and discuss experimental schemes for their generation and probe, together with their lifetime.

4 pages, 3 figures

References in corpus (2)

• A Cosmic Microwave Background feature consistent with a cosmic texture
• Classifying Vortices in S=3 Bose-Einstein Condensates

Cited by in corpus (88)

• Cold and Ultracold Molecules: Science, Technology, and Applications
• Spinor Bose-Einstein condensates
• Topological quantum matter with cold atoms
• Stationary ring solitons in field theory - knots and vortons
• Tying knots in light fields
• Observation of Topologically Stable 2D Skyrmions in an Antiferromagnetic Spinor Bose-Einstein Condensate
• Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
• Binding a Hopfion in Chiral Magnet Nanodisk
• Two-dimensional skyrmions and other solitonic structures in confinement-frustrated chiral nematics
• Topological Semimetals carrying Arbitrary Hopf Numbers: Hopf-Link, Solomon's-Knot, Trefoil-Knot and Other Semimetals
• Current-Driven Dynamics of Magnetic Hopfions
• Topological Transformation and Free-Space Transport of Photonic Hopfions
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Creation of Dirac monopoles in spinor Bose-Einstein condensates
• Three-dimensional dynamics of magnetic hopfion driven by spin transfer torque
• Vortex knots in a Bose-Einstein condensate
• High capacity topological coding based on nested vortex knots and links
• A geometrical approach to the dynamics of spinor condensates II: Collective modes
• A geometrical approach to the dynamics of spinor condensates I: Hydrodynamics
• Weaving knotted vector fields with tunable helicity
• Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
• Torus knots as Hopfions
• Wall-vortex composite solitons in two-component Bose-Einstein condensates
• Classification of Electromagnetic and Gravitational Hopfions by Algebraic Type
• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• Untying links through anti-parity-time-symmetric coupling
• Emergent Magneto-multipoles and Nonlinear Responses of a Magnetic Hopfion
• Analogues of D-branes in Bose-Einstein condensates
• Abe homotopy classification of topological excitations under the topological influence of vortices
• Relations among topological solitons
• Linked and knotted chimera filaments in oscillatory systems
• Decay of a Quantum Knot
• Topological Excitations in Spinor Bose-Einstein Condensates
• Experimental realization of a Dirac monopole through the decay of an isolated monopole
• Ground-State Dirac Monopole
• Three-dimensional skyrmions in spin-2 Bose-Einstein condensates
• Excitation of knotted vortex lines in matter waves
• Topological quantum quench dynamics carrying arbitrary Hopf and second-Chern numbers
• Stable Hopf solitons in rotating Bose-Einstein condensates
• Winding Hopfions on R^2 x S^1
• Hydrodynamic modes of partially condensed Bose mixtures
• Helicity Conservation, and Twisted Seifert Surfaces for Superfluid Vortices
• Formation and Controlling of Optical Hopfions in High Harmonic Generation
• Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential
• Synthetic Landau levels and spinor vortex matter on Haldane spherical surface with magnetic monopole
• Knotted optical vortices in exact solutions to Maxwell's equations
• The tight knot spectrum in QCD
• Scattering of knotted vortices (Hopfions) in the Faddeev-Skyrme model
• The nonlinear Dirac equation: Preparation and stability of relativistic vortices in Bose-Einstein condensates
• Constructing a class of topological solitons in magnetohydrodynamics
• Dynamics of a vortex dipole across a magnetic phase boundary in a spinor Bose-Einstein condensate
• Skyrmion quantum spin Hall effect
• Decay of an isolated monopole into a Dirac monopole configuration
• The nonlinear Dirac equation in Bose-Einstein condensates: Superfluid fluctuations and emergent theories from relativistic linear stability equations
• Spin Josephson vortices in two tunnel coupled spinor Bose gases
• Ideal Relaxation of the Hopf Fibration
• Synthetic superfluid chemistry with vortex-trapped quantum impurities
• $SU(3)$ Knot Solitons: Hopfions in the $F_2$ Skyrme-Faddeev-Niemi model
• A damped point-vortex model for polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate
• Skyrmion-string defects with arbitrary topological charges in spinor Bose-Einstein condensates
• Collision of two Hopfions
• Half-knot in the spinor condensates
• Spin-Orbital momentum decomposition and helicity exchange in a set of non-null knotted electromagnetic fields
• Magnetization of a half-quantum vortex in a spinor Bose-Einstein condensate
• Linked and knotted synthetic magnetic fields
• Gauged Hopfions
• Simple description of generalized electromagnetic and gravitational hopfions
• Gravitational Hopfions
• The in-plane gradient magnetic field induced vortex lattices in spin-orbit coupled Bose-Einstein condensations
• Vortex Molecules in Spinor Condensates
• Cabling in the Skyrme-Faddeev model
• Topological atom optics and beyond with knotted quantum wavefunctions
• Bessel Vortices in Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates
• Quantum knots in Bose-Einstein condensates created by counterdiabatic control
• Stable knots in the trapped Bose-Einstein condensates
• Sinusoidal magnetic field induced topological excitations in a spin-orbit coupled spinor condensate
• Spin-1 Bose Hubbard model with nearest neighbour extended interaction
• Numerical simulation of knotted solutions for Maxwell equations
• Metastable spin textures and Nambu-Goldstone modes of a ferromagnetic spin-1 Bose-Einstein condensate confined in a ring trap
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
• Influence of topological constraints and topological excitations: Decomposition formulas for calculating homotopy groups of symmetry-broken phases
• Precise wavefunction engineering with magnetic resonance
• Phase transitions in dipolar spin-1 Bose gases
• Josephson-like oscillations in toroidal spinor Bose-Einstein condensates: a prospective symmetry probe
• Confinement and moduli locking of Alice strings and monopoles
• Topological Soliton with Nonzero Hopf Invariant in Yang-Mills-Higgs Model
• Emergent chirality and superfluidity of parity-doubled baryons in neutron stars
• Nontrivial Causal Structures Engendered by Knotted Solitons