Dynamic winding number for exploring band topology
Bo Zhu, Yongguan Ke, Honghua Zhong, Chaohong Lee
Abstract
The authors put forward a new concept of dynamic winding number and uncover its connections to conventional topological invariants in both Hermitian and non-Hermitian models. This scheme does not require any prior knowledge of the topology before and after a quench.
Topics & Concepts
Topology (electrical circuits)Scheme (mathematics)MathematicsNetwork topologyComputer scienceHermitian matrixWinding numberClass (philosophy)General topologyNet (polyhedron)Quantum Mechanics and Non-Hermitian PhysicsTopological Materials and PhenomenaQuantum chaos and dynamical systems