Experimental characterization of three-band braid relations in non-Hermitian acoustic lattices
Qicheng Zhang, Luekai Zhao, Xun Liu, Xiling Feng, Liwei Xiong, Wenquan Wu, Chunyin Qiu
Abstract
Braids are ubiquitous in mathematics and physics. The interesting multistrand braiding topology is visualized by a concise acoustic setup. From the measurements of both eigenvalues and eigenstates, a noncommutative braid relation and a swappable braid relation is precisely captured.
Topics & Concepts
BraidNoncommutative geometryEigenvalues and eigenvectorsHermitian matrixRelation (database)Characterization (materials science)MathematicsPure mathematicsBraid theoryTopology (electrical circuits)PhysicsBraid groupComputer scienceQuantum mechanicsMaterials scienceCombinatoricsOpticsData miningComposite materialQuantum Mechanics and Non-Hermitian PhysicsTopological Materials and PhenomenaNonlinear Photonic Systems