Knot topology of exceptional point and non-Hermitian no-go theorem
Haiping Hu, Shi-Kang Sun, Shu Chen
Abstract
The authors formulate a homotopy classification and knot theory of exceptional points and present a non-Hermitian no-go theorem governing the possible configurations of exceptional points and their splitting rules on a two-dimensional lattice.
Topics & Concepts
Knot (papermaking)Hermitian matrixHomotopyMathematicsLattice (music)Topology (electrical circuits)Pure mathematicsCombinatoricsPhysicsEngineeringChemical engineeringAcousticsQuantum Mechanics and Non-Hermitian PhysicsAlgebraic structures and combinatorial modelsQuantum chaos and dynamical systems