Non-Abelian physics in light and sound

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 tailore...

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Bibliographic Details
Published in:Science (American Association for the Advancement of Science) 2024-02, Vol.383 (6685), p.eadf9621
Main Authors: Yang, Yi, Yang, Biao, Ma, Guancong, Li, Jensen, Zhang, Shuang, Chan, C T
Format: Article
Language:English
Subjects:
Acoustics
Adiabatic
Adiabatic flow
Angular momentum
Band theory
Braiding
Broken symmetry
Condensed matter physics
Eigenvalues
Eigenvectors
Elementary particles
Energy bands
Evolution
Excitons
Hilbert space
Light
Mathematical analysis
Matrices (mathematics)
Mechanics (Physics)
Multiplication
Numbers
Operators (mathematics)
Orbital mechanics
Oscillations
Permeability
Photonics
Physics
Pumping
Quantum mechanics
Rigid structures
Sound
Symmetry
Topology
Transmission lines
Waveguides
Weak interactions (field theory)
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Summary: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.
ISSN:0036-8075
1095-9203
DOI:10.1126/science.adf9621