Exceptional point topology in nonlinear and non-Hermitian systems / Jan Wingenbach ; Examination Committee Prof. Dr. Stefan Schumacher, Prof. Dr. Torsten Meier, Prof. Dr. Thomas Zentgraf, Dr. Christof Eigner. Paderborn, 2026
Inhalt
- Introduction
- Theoretical Framework
- Theory of exceptional points in non-Hermitian systems
- Introduction to exceptional points
- Sensing capabilities of exceptional points
- Topological properties of exceptional points and exceptional structures
- Catastrophe theory
- A Study on Nonlinear Exceptional Points
- Nonlinear and non-Hermitian: It’s a catastrophe
- Exciton-polariton condensates
- Responsivity and topology of nonlinear exceptional rings
- Exceptional points in nonresonant nonlinear systems
- From Solver Development to Skyrmion Patterns
- Final Remarks