Symmetry analysis of crystalline spin textures in dipolar spinor condensates

TL;DR

This paper systematically analyzes the symmetry properties of crystalline spin textures in dipolar spinor condensates, classifying possible ground states based on symmetry considerations and energy minimization.

Contribution

It introduces a symmetry-based classification framework for crystalline spin textures in dipolar spinor condensates, advancing understanding of their ground states.

Findings

Classified symmetry groups compatible with experimental constraints

Identified potential ground states through energy minimization within symmetry classes

Provided a systematic approach to analyze spin textures in dipolar condensates

Abstract

We study periodic crystalline spin textures in spinor condensates with dipolar interactions via a systematic symmetry analysis of the low-energy effective theory. By considering symmetry operations which combine real and spin space operations, we classify symmetry groups consistent with non-trivial experimental and theoretical constraints. Minimizing the energy within each symmetry class allows us to explore possible ground states.