Experimental demonstration of splitting rules for exceptional points and their topological characterization
Yi-Xin Xiao, Jing Hu, Zhao-Qing Zhang, C. T. Chan
Abstract
This work establishes clear relationships between how exceptional points of varying orders split and which parts of the system are perturbed. Additionally, two topological invariants are identified to fully characterize the various splitting behavior. These findings provide a comprehensive understanding of how exceptional points split in various non-Hermitian systems, and can help optimize the performance of sensors that rely on exceptional points.
Topics & Concepts
Characterization (materials science)Topology (electrical circuits)Hermitian matrixTheoretical physicsPhysicsComputer scienceMathematicsPure mathematicsCombinatoricsOpticsQuantum Mechanics and Non-Hermitian PhysicsQuantum chaos and dynamical systemsTopological Materials and Phenomena