Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms

Abstract

In this Letter we study discrete symmetries of mean field manifolds of condensates of F=2 cold atoms, and various unconventional quantum vortices. Discrete quaternion symmetries result in two species of spin defects that can only appear in integer vortices while {\em cyclic} symmetries are found to result in a phase shift of $2\pi /3$ (or $4\pi /3$) and therefore 1/3- (or 2/3-) quantum vortices in condensates. We also briefly discuss 1/3-quantum vortices in condensates of trimers.

arXiv comment4 pages, 2 figures included; published version

References in corpus (18)

• Spinor Bose Condensates in Optical Traps
• Spin domains in ground state spinor Bose-Einstein condensates
• Optical Confinement of a Bose-Einstein Condensate
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Measurement of the angular momentum of a rotating Bose-Einstein condensate
• Exact Eigenstates and Magnetic Response of Spin-1 and Spin-2 Vectorial Bose-Einstein Condensates
• The Phase Diagrams of F=2 Spinor Bose Condensates
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms
• On the nature of spinor Bose-Einstein condensates in rubidium
• Spin correlation and Discrete symmetry in Spinor Bose-Einstein Condensates
• Classifying Novel Phases of Spinor Atoms
• Monopole core instability and Alice rings in spinor Bose-Einstein condensates
• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
• Interferometric detection of a single vortex in a dilute Bose-Einstein condensate
• Topological defects in spinor condensates
• Spin Singlet Mott States and Evidence For Spin Singlet Quantum Condensates of Spin-One Bosons in Lattices
• Quantum insulating states of F=2 cold atoms in optical lattices

Cited by in corpus (72)

• Spinor Bose-Einstein condensates
• Introduction to topological quantum computation with non-Abelian anyons
• Vortices and Other Topological Solitons in Dense Quark Matter
• Interaction of half-quantized vortices in two-component Bose-Einstein condensates
• Textures of Spin-Orbit Coupled F=2 Spinor Bose Einstein Condensates
• Collision Dynamics and Rung Formation of Non-Abelian Vortices
• Crossover between integer and fractional vortex lattices in coherently coupled two-component Bose-Einstein condensates
• Quantum fluctuation-induced uniaxial and biaxial spin nematics
• Symmetry Classification of Spinor Bose-Einstein Condensates
• Bogoliubov Theory and Lee-Huang-Yang Corrections in Spin-1 and Spin-2 Bose-Einstein Condensates in the Presence of the Quadratic Zeeman Effect
• Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
• Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate
• Berezinskii-Kosterlitz-Thouless transition of two-component Bose mixtures with inter-component Josephson coupling
• Topological interface engineering and defect crossing in ultracold atomic gases
• Energetic stability of coreless vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• Low energy dynamics of spinor condensates
• Stable Fractional Vortices in the Cyclic States of Bose-Einstein Condensates
• Abe homotopy classification of topological excitations under the topological influence of vortices
• Hydrodynamic equation of a spinor dipolar Bose-Einstein condensate
• Baryonic Bound State of Vortices in Multicomponent Superconductors
• Stability and internal structure of vortices in spin-1 Bose-Einstein condensates with conserved magnetization
• Vortex lattice transitions in cyclic spinor condensates
• Core Structure and Non-Abelian Reconnection of Defects in a Biaxial Nematic Spin-2 Bose-Einstein Condensate
• Vortex lattices in three-component Bose-Einstein condensates under rotation: simulating colorful vortex lattices in a color superconductor
• Braiding and fusion of non-Abelian vortex anyons
• Topological Excitations in Spinor Bose-Einstein Condensates
• Topological classification of vortex-core structures of spin-1 Bose-Einstein condensates
• Vortex graphs as N-omers and CP(N-1) Skyrmions in N-component Bose-Einstein condensates
• ${}^3{P}_2$ Superfluids Are Topological
• Non-Abelian Global Vortices
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Reexamining Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluidity in neutron stars
• Vortex splitting and phase separating instabilities of coreless vortices in F=1 spinor Bose-Einstein condensates
• Half-vortex sheets and domain-wall trains of rotating two-component Bose-Einstein condensates in spin-dependent optical lattices
• Controlled creation of a singular spinor vortex by circumventing the Dirac belt trick
• Laser Cooling of Transition Metal Atoms
• Dynamical symmetry in spinor Bose-Einstein condensates
• Topological interface physics of defects and textures in spinor Bose-Einstein condensates
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Vortex molecules in Bose-Einstein condensates
• Gauge-spin-space rotation invariant vortices in spin-orbit coupled Bose-Einstein condensates
• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Half-quantized Non-Abelian Vortices in Neutron ${}^3{P}_2$ Superfluids inside Magnetars
• Spontaneously axisymmetry breaking phase in a binary mixture of spinor Bose-Einstein condensates
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Dynamics of a vortex dipole across a magnetic phase boundary in a spinor Bose-Einstein condensate
• Non-Abelian Half-Quantum Vortices in ${}^3{P}_2$ Topological Superfluids
• Controlled Creation and Decay of Singly-Quantized Vortices in a Polar Magnetic Phase
• Imprinting a topological interface using Zeeman shifts in an atomic spinor Bose-Einstein condensate
• A damped point-vortex model for polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate
• Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors
• Atomic number fluctuations in a mixture of two spinor condensates
• Tunable Quantum Fluctuation-Controlled Coherent Spin Dynamics
• Topological defects at the boundary of neutron ${}^3{P}_2$ superfluids in neutron stars
• Spin-polarized phases of ${}^3{P}_2$ superfluids in neutron stars
• Core structures of vortices in Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluids
• Topological Superfluid Defects with Discrete Point Group Symmetries
• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• Topological influence and back-action between topological excitations
• Vortex Molecules in Spinor Condensates
• Hyperfine Spin-Two (F=2) Atoms in Three-Dimensional Optical Lattices: Phase Diagrams and Phase Transitions
• Topological atom optics and beyond with knotted quantum wavefunctions
• Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition
• Topological interfaces crossed by defects and textures of continuous and discrete point group symmetries in spin-2 Bose-Einstein condensates
• Paired phases and Bose-Einstein condensation of spin-one bosons with attractive interaction
• Surface Bound States and Spontaneous Current in Cyclic d-Wave Superconductors
• Influence of topological constraints and topological excitations: Decomposition formulas for calculating homotopy groups of symmetry-broken phases
• Symmetry classification of uniform states in spin-2 Bose-Einstein condensates and neutron ${}^3{P}_2$ superfluids
• Fluctuation-Driven Vortex Fractionalization in Topologically Ordered Superfluids of Cold Atoms
• Collision dynamics of two-dimensional non-Abelian vortices
• Textures and Vortices in d-Wave Fermi Condensates in Atomic Gases
• Fractional windings of the spinor condensates on a ring