Topological classification of vortex-core structures of spin-1 Bose-Einstein condensates

Abstract

We classify vortex-core structures according to the topology of the order parameter space. By developing a method to characterize how the order parameter changes inside the vortex core. We apply this method to the spin-1 Bose-Einstein condensates and show that the vortex-core structures are classified by winding numbers that are locally defined in the core region. We also show that a vortex-core structure with a nontrivial winding number can be stabilized under a negative quadratic Zeeman effect.

16 pages, 6 figures

References in corpus (5)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
• Broken axisymmetry phase of a spin-1 ferromagnetic Bose-Einstein condensate
• Symmetry Classification of Spinor Bose-Einstein Condensates
• Energetically stable singular vortex cores in an atomic spin-1 Bose-Einstein condensate

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• Collective excitations of a quantized vortex in ${}^3{P}_2$ superfluids in neutron stars
• Vortex molecules in Bose-Einstein condensates
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• Stable core symmetries and confined textures for a vortex line in a spinor Bose-Einstein condensate
• Dynamics of a vortex dipole across a magnetic phase boundary in a spinor Bose-Einstein condensate
• Synthetic superfluid chemistry with vortex-trapped quantum impurities
• Imprinting a topological interface using Zeeman shifts in an atomic spinor Bose-Einstein condensate
• Controlled Creation and Decay of Singly-Quantized Vortices in a Polar Magnetic Phase
• Nonholonomy of order parameters and su(3) vortices in spin-1 Bose-Einstein condensates
• Fractional windings of the spinor condensates on a ring