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

TL;DR

This paper develops a topological framework to analyze magnetic monopoles in a charged two-condensate Bose-Einstein system, revealing their creation, annihilation, and interaction behaviors through bifurcation theory.

Contribution

It introduces a novel topological approach using Duan's theory to study magnetic monopoles' charge density and bifurcation phenomena in complex condensate systems.

Findings

Magnetic monopoles can generate or annihilate at limit points.

Monopoles encounter, split, or merge at bifurcation points.

Topological properties govern monopole dynamics in the system.

Abstract

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.