The Bifurcation Theory of Magnetic Monopoles in a Charged Two-Condensate Bose-Einstein System

Details The Bifurcation Theory of Magnetic Monopoles in a Charged Two-Condensate Bose-Einstein System The Bifurcation Theory of Magnetic Monopoles in a Charged Two-Condensate Bose-Einstein System

2008-07-17

arxiv.org/abs/0807.2784v1

J. Phys. A: Math. Theor. 41, 315214 (2008)

Physics

Condensed Matter

Superconductivity

21 pages, 5 figures

Scientific paper

10.1088/1751-8113/41/31/315214

Magnetic monopoles, that are particle-like field configurations with which one can associate a topological charge, widely exist in various three dimensional condensate systems. In this paper, by making use of \emph{Duan}'s topological current theory, we obtain the charge density of magnetic monopoles and their bifurcation theory in a charged two condensate Bose-Einstein system. The evolution of magnetic monopoles is studied from the topological properties of a three-dimensional vector field. The magnetic monopoles are found generating or annihilating at the limit points and encountering, splitting, or merging at the bifurcation points.

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