Synthetic non-Abelian topological charges in ultracold atomic gases

Abstract

Topological phases associated with non-Abelian charges can exhibit a distinguished bulk-edge correspondence compared with Abelian phases, although elucidating this relationship remains challenging in traditional solid-state systems. In this paper, we propose a theoretical framework for synthesizing non-Abelian quaternion charges in ultracold atomic gases. By designing artificial spin-orbit coupling patterns, the topological edge modes demonstrate a clear correspondence with the band topology determined by various quaternion charges. This paves the way for observing the interface modes whose existence is attributed to the nonconservation multiplication relation, which is fundamental to non-Abelian charges. This scheme can be readily implemented using current ultracold atom techniques, offering a promising approach to explore the intriguing non-Abelian characteristics of the system.

arXiv comment10 pages, 8 figures

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Cited by in corpus (5)

• Floquet non-Abelian topological charges and edge states
• Synthetic spin-orbit coupling for the multispin models in optical lattices
• Anomalous Topological Bloch Oscillations under Non-Abelian Gauge Fields
• Coupled-wire construction of non-Abelian higher-order topological phases
• Proposal for realizing and probing topological crystalline insulators in optical lattices