Coupled quantum vortex kinematics and Berry curvature in real space

TL;DR

This paper explores how Berry curvature influences the dynamics of quantum vortices in multi-component fields, revealing new insights into their motion and control in complex quantum systems.

Contribution

It introduces a novel analysis of vortex dynamics using Berry curvature in two-component polaritons, linking quantum space descriptions to real-space vortex behavior.

Findings

Berry curvature explains vortex spiraling in real space.

Derived a simple velocity expression involving Rabi frequency.

Demonstrated control potential for complex quantum textures.

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