Magnetic monopoles in a charged two-condensate Bose-Einstein system

TL;DR

This paper introduces magnetic monopoles as topological defects in a charged two-condensate Bose-Einstein system, using $$-mapping theory to relate their charges to topological indices.

Contribution

It reveals the existence of magnetic monopoles in a two-condensate Bose system and provides a topological framework to characterize their charges.

Findings

Magnetic monopoles are point-like topological defects in the system.

Topological charges are expressed via Hopf indices and Brouwer degree.

The approach links physical monopoles to mathematical topological invariants.

Abstract

We propose that a charged two-condensate Bose system possesses point-like topological defects which can be interpreted as magnetic monopoles. By making use of the $\phi$-mapping theory, the topological charges of these magnetic monopoles can be expressed in terms of the Hopf indices and Brouwer degree of the $\phi$-mapping.