Coupled quantum vortex kinematics and Berry curvature in real space

Abstract The Berry curvature provides a powerful tool to unify several branches of science through their geometrical aspect: topology, energy bands, spin and vector fields. While quantum defects–phase vortices skyrmions–have been in the spotlight, as rotational entities condensates, superfluids optics, dynamics multi-component fields remain little explored. Here we use two-component microcavity polaritons imprint dynamical pseudospin texture form double full Bloch beam, conformal continuous vortex beyond unitary skyrmions. plays key role link various spaces available describe such textures. It explains for instance ultrafast spiraling real space two singular cores, providing particular simple expression–also involving complex Rabi frequency–for intricate velocity. Such connections open new perspectives understanding controlling highly-structured objects, including strongly asymmetric cases or even higher