Topological Excitations in Spinor Bose-Einstein Condensates
arXiv:1006.5839 · doi:10.1143/PTPS.186.455
Abstract
A rich variety of order parameter manifolds of multicomponent Bose-Einstein condensates (BECs) admit various kinds of topological excitations, such as fractional vortices, monopoles, skyrmions, and knots. In this paper, we discuss two topological excitations in spinor BECs: non-Abelian vortices and knots. Unlike conventional vortices, non-Abelian vortices neither reconnect themselves nor pass through each other, but create a rung between them in a topologically stable manner. We discuss the collision dynamics of non-Abelian vortices in the cyclic phase of a spin-2 BEC. In the latter part, we show that a knot, which is a unique topological object characterized by a linking number or a Hopf invariant [], can be created using a conventional quadrupole magnetic field in a cold atomic system.
Proceedings of the workshop "New Frontiers in QCD 2010"
References in corpus (14)
- Spinor Bose Condensates in Optical Traps
- Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
- Knots and Particles
- Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation
- Emergence of turbulence in an oscillating Bose-Einstein condensate
- Exact Eigenstates and Magnetic Response of Spin-1 and Spin-2 Vectorial Bose-Einstein Condensates
- Creating vortex rings and three-dimensional skyrmions in Bose-Einstein condensates
- The Phase Diagrams of F=2 Spinor Bose Condensates
- Knots in a Spinor Bose-Einstein Condensate
- How to create Alice string (half-quantum vortex) in a vector Bose-Einstein condensate
- Monopole core instability and Alice rings in spinor Bose-Einstein condensates
- Discrete symmetries and 1/3-quantum vortices in condensates of F=2 cold atoms
- 't Hooft-Polyakov Monopoles in an Antiferromagnetic Bose-Einstein Condensate
- Classifying Vortices in S=3 Bose-Einstein Condensates
Cited by in corpus (13)
- Observation of Topologically Stable 2D Skyrmions in an Antiferromagnetic Spinor Bose-Einstein Condensate
- Interaction of half-quantized vortices in two-component Bose-Einstein condensates
- Creating vortons and three-dimensional skyrmions from domain wall annihilation with stretched vortices in Bose-Einstein condensates
- Universal dynamical scaling of long-range topological superconductors
- Relations among topological solitons
- Excitation of knotted vortex lines in matter waves
- Winding Hopfions on R^2 x S^1
- Vortex molecules in Bose-Einstein condensates
- Three-body Physics in Strongly Correlated Spinor Condensates
- Half-knot in the spinor condensates
- Stable knots in the trapped Bose-Einstein condensates
- Finite temperature ferromagnetic transition in coherently coupled Bose gases
- Tsunami Solitons Emerging from Superconducting Gap