Accelerated Non-Reciprocal Transfer of Energy Around an Exceptional Point

Ribeiro, Hugo; Marquardt, Florian

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Accelerated Non-Reciprocal Transfer of Energy Around an Exceptional Point

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Ribeiro, Hugo
Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Marquardt, Florian
Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society;
Institute for Theoretical Physics, Department of Physics, University of Erlangen-Nürnberg;

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Ribeiro, H., & Marquardt, F. (2021). Accelerated Non-Reciprocal Transfer of Energy Around an Exceptional Point. arXiv, 2111.11220.

Cite as: https://hdl.handle.net/21.11116/0000-0009-88AF-9

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.