Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-06-30
Prog.Theor.Phys.Suppl.186:455-462,2010
Physics
Condensed Matter
Quantum Gases
Proceedings of the workshop "New Frontiers in QCD 2010"
Scientific paper
10.1143/PTPS.186.455
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 [$\pi_3 (S^2)=Z$], can be created using a conventional quadrupole magnetic field in a cold atomic system.
Kawaguchi Yuki
Kobayashi Michikazu
Nitta Muneto
Ueda Masahito
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