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.
arXiv comment4.5 pages, 3 figures, 5 pages of supplemental material
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