Accelerated Non-Reciprocal Transfer of Energy Around an Exceptional Point
arXiv:2111.11220
Abstract
We develop perturbative methods to study and control dynamical phenomena related to exceptional points in Non-Hermitian systems. In particular, we show how to find perturbative solutions based on the Magnus expansion that accurately describe the evolution of non-Hermitian systems when encircling an exceptional point. This allows us to use the recently proposed Magnus-based strategy for control to design fast non-reciprocal, topological operations whose fidelity error is orders of magnitude smaller than their much slower adiabatic counterparts.
4.5 pages, 3 figures, 5 pages of supplemental material
References in corpus (6)
- Exceptional Topology of Non-Hermitian Systems
- The physics of exceptional points
- Loss-induced suppression and revival of lasing
- Topological Anderson Insulator
- Dynamically encircling an exceptional point in a real quantum system
- Coupling of eigenvalues of complex matrices at diabolic and exceptional points