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Magnetic monopole, a hypothetical elementary particle with isolated magneticpole, is crucial for the quantization of electric charge. In recent years,analogues of magnetic monopoles, represented by topological defects inparameter spaces, have been studied in a wide range of physical systems. Theseworks mainly focused on Abelian Dirac monopoles in spin-1/2 or non-Abelian Yangmonopoles in spin-3/2 systems. Here we propose to realize three types of spin-1topological monopoles and study their geometric properties using the parameterspace formed by three hyperfine states of ultracold atoms coupled byradio-frequency fields. These spin-1 monopoles, characterized by differentmonopole charges, possess distinct Berry curvature fields and spin textures,which are directly measurable in experiments. The topological phase transitionsbetween different monopoles are accompanied by the emergence of spin "vortex",and can be intuitively visualized using Majorana's stellar representation. Weshow how to determine the Berry curvature, hence the geometric phase andmonopole charge from dynamical effects. Our scheme provides a simple and highlytunable platform for observing and manipulating spin-1 topological monopoles,paving the way for exploring new topological quantum matter.

Spin-1 Topological Monopoles in Parameter Space of Ultracold Atoms