Non-Abelian physics in light and sound

• 成果类型: Review
• 署名作者: Yang, Yi; Yang, Biao; Ma, Guancong; Li, Jensen; Zhang, Shuang; Chan, C. T.
• 署名单位: University of Hong Kong; University of Hong Kong; National University of Defense Technology - China; National University of Defense Technology - China; National University of Defense Technology - China; Hong Kong Baptist University; Hong Kong University of Science & Technology; University of Hong Kong; University of Hong Kong
• 刊物名称: SCIENCE
• ISSN/ISSBN: 0036-11227
• DOI: 10.1126/science.adf9621
• 发表日期: 2024-02-23
• 关键词: non-hermitian degeneracies; chern number; edge states; phase; probe

摘要

Non-Abelian phenomena arise when the sequence of operations on physical systems influences their behaviors. By possessing internal degrees of freedom such as polarization, light and sound can be subjected to various manipulations, including constituent materials, structured environments, and tailored source conditions. These manipulations enable the creation of a great variety of Hamiltonians, through which rich non-Abelian phenomena can be explored and observed. Recent developments have constituted a versatile testbed for exploring non-Abelian physics at the intersection of atomic, molecular, and optical physics; condensed matter physics; and mathematical physics. These fundamental endeavors could enable photonic and acoustic devices with multiplexing functionalities. Our review aims to provide a timely and comprehensive account of this emerging topic. Starting from the foundation of matrix-valued geometric phases, we address non-Abelian topological charges, non-Abelian gauge fields, non-Abelian braiding, non-Hermitian non-Abelian phenomena, and their realizations with photonics and acoustics and conclude with future prospects.