Topological Superfluid Defects with Discrete Point Group Symmetries

TL;DR

This paper demonstrates the creation and analysis of topological defects in spinor Bose-Einstein condensates that exhibit complex discrete symmetries, revealing new possibilities for quantum information applications.

Contribution

It introduces a method to engineer and verify exotic topological defects with discrete symmetries in atomic condensates, expanding understanding of their properties and potential uses.

Findings

Engineered singular line defects with symmetry-determined properties

Observed complex core structures with discrete and continuous symmetries

Revealed non-commutative properties of topological defects

Abstract

Discrete symmetries are spatially ubiquitous but are often hidden in internal states of systems where they can have especially profound consequences. In this work we create and verify exotic magnetic phases of atomic spinor Bose-Einstein condensates that, despite their continuous character and intrinsic spatial isotropy, exhibit complex discrete polytope symmetries in their topological defects. Using carefully tailored spinor rotations and microwave transitions, we engineer singular line defects whose quantization conditions, exchange statistics, and dynamics are fundamentally determined by these underlying symmetries. We show how filling the vortex line singularities with atoms in a variety of different phases leads to core structures that possess magnetic interfaces with rich combinations of discrete and continuous symmetries. Such defects, with their non-commutative properties, could provide unconventional realizations of quantum information and interferometry.