Vortex dynamics and skyrmions in four to six dimensions: Coherence vortices in Bose-Einstein condensates

TL;DR

This paper explores the theoretical and experimental potential of coherence vortices in matter waves, particularly in Bose-Einstein condensates, to study high-dimensional vortex dynamics and novel topological defects.

Contribution

It introduces the concept of coherence vortices in correlation functions and demonstrates their creation and detection in Bose-Einstein condensates through simulations and a proposed experiment.

Findings

Coherence vortices can be created in matter waves.

Vortex dynamics can be studied in up to six dimensions.

New spin topological defects may be observed in higher dimensions.

Abstract

I point out how coherence vortices, i.e., topological defects in a correlation function, could help explore new physics if they are created in matter waves. Vortex dynamics could be studied in up to six dimensions, and spin topological defects unseen in lower dimensions could be created. A rudimentary proof-of-principle experiment is sketched and simulated, in which three Bose-Einstein condensates are used to create and detect coherence vortices.