SL $$(2,{\mathbb{C}})$$ ( 2, C ) non-Abelian gauge fields in a photonic molecule array

Zhaohui Dong, Xianfeng Chen and Luqi Yuan ()
Additional contact information
Zhaohui Dong: Shanghai Jiao Tong University, State Key Laboratory of Photonics and Communications, School of Physics and Astronomy
Xianfeng Chen: Shanghai Jiao Tong University, State Key Laboratory of Photonics and Communications, School of Physics and Astronomy
Luqi Yuan: Shanghai Jiao Tong University, State Key Laboratory of Photonics and Communications, School of Physics and Astronomy

Nature Communications, 2025, vol. 16, issue 1, 1-9

Abstract: Abstract Engineering the topological properties of the system has been a longstanding subject in physics. Here, we propose a scheme to simulate topological materials with a non-Abelian gauge field in synthetic space-frequency dimensions where the symmetry between spin-flipped hoppings can be levitated by using coupled photonic molecules under dynamic modulations. The frequency-split supermodes in these photonic molecules can serve the pseudospin degree of freedom, which can further be connected along the frequency axis in an independent way, offering the unique opportunity to explore topological physics with imbalanced spin-flipped hoppings leading to a complex generalization of the conventional SU(2) non-Abelian gauge field, i.e., an SL $$(2,{\mathbb{C}})$$ ( 2 , C ) gauge field. By varying the spin-flipped hopping terms, we theoretically show the existence of a variety of Dirac semimetal transitions and the rotation of the pseudospin projection for the edge states throughout the Brillouin zone. Our proposal is experimentally feasible and therefore provides a versatile platform for the study of topological materials under non-Abelian gauge fields in photonics.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.nature.com/articles/s41467-025-65214-z Abstract (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:nat:natcom:v:16:y:2025:i:1:d:10.1038_s41467-025-65214-z

Ordering information: This journal article can be ordered from
https://www.nature.com/ncomms/

DOI: 10.1038/s41467-025-65214-z

Access Statistics for this article

Nature Communications is currently edited by Nathalie Le Bot, Enda Bergin and Fiona Gillespie

More articles in Nature Communications from Nature
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().