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Synthetic non-Abelian charges in degenerate Fermi gases
- Publication Year :
- 2024
-
Abstract
- Topological phases associated with non-Abelian charges can exhibit a distinguished bulk-edge correspondence compared to 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 degenerate Fermi 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 non-conservation 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.<br />Comment: 8 pages, 6 figures
- Subjects :
- Condensed Matter - Quantum Gases
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.17778
- Document Type :
- Working Paper