Explicit expressions for the topological defects of spinor Bose-Einstein condensates
arXiv:cond-mat/0510750 · doi:10.1088/0305-4470/39/23/017
Abstract
In this paper we first derive a general method which enables one to create expressions for vortices and monopoles. By using this method we construct several order-parameters describing the vortices and monopoles of Bose-Einstein condensates with hyperfine spin F=1 and F=2. We concentrate on defects which are topologically stable in the absence of an external magnetic field. In particular we show that in a ferromagnetic condensate there can be a vortex which does not produce any superfluid flow. We also point out that the order-parameter space of the cyclic phase of F=2 condensate consists of two disconnected sets. Finally we examine the effect of an external magnetic field on the vortices of a ferromagnetic F=1 condensate and discuss the experimental preparation of a vortex in this system.
17 pages, partly rewritten to improve clarity, conclusions unchanged
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Cited by in corpus (17)
- Spinor Bose-Einstein condensates
- Collision Dynamics and Rung Formation of Non-Abelian Vortices
- Classifying Vortices in S=3 Bose-Einstein Condensates
- Symmetry and inert states of spin Bose Condensates
- Stable Fractional Vortices in the Cyclic States of Bose-Einstein Condensates
- Hydrodynamic equation of a spinor dipolar Bose-Einstein condensate
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- Topological classification of vortex-core structures of spin-1 Bose-Einstein condensates
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- 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