Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities
J. Wingenbach, L. Ares Santos, X. Ma, J. Sperling, S. Schumacher, Arxiv (2025).
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Wingenbach, JanLibreCat;
Ares Santos, Laura ;
Ma, XuekaiLibreCat;
Sperling, JanLibreCat 
;
Schumacher, StefanLibreCat
;
Schumacher, StefanLibreCat Department
Project
Computing Resources Provided by the Paderborn Center for Parallel Computing
TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen
TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse
TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen
TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse
Abstract
Non-Hermitian systems hosting exceptional points (EPs) exhibit enhanced sensitivity and unconventional mode dynamics. Going beyond isolated EPs, here we report on the existence of exceptional rings (ERs) in planar optical resonators with specific form of circular dichroism and TE-TM splitting. Such exceptional rings possess intriguing topologies as discussed earlier for condensed matter systems, but they remain virtually unexplored in presence of nonlinearity, for which our photonic platform is ideal. We find that when Kerr-type nonlinearity (or saturable gain) is introduced, the linear ER splits into two concentric ERs, with the larger-radius ring being a ring of third-order EPs. Transitioning from linear to nonlinear regime, we present a rigorous analysis of spectral topology and report enhanced and adjustable perturbation response in the nonlinear regime. Whereas certain features are specific to our system, the results on non-Hermitian spectral topology and nonlinearity-enhanced perturbation response are generic and equally relevant to a broad class of other nonlinear non-Hermitian systems, providing a universal framework for engineering ERs and EPs in nonlinear non-Hermitian systems.
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Arxiv
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Cite this
Wingenbach J, Ares Santos L, Ma X, Sperling J, Schumacher S. Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities. Arxiv. Published online 2025. doi:10.48550/ARXIV.2507.07099
Wingenbach, J., Ares Santos, L., Ma, X., Sperling, J., & Schumacher, S. (2025). Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities. Arxiv. https://doi.org/10.48550/ARXIV.2507.07099
@article{Wingenbach_Ares Santos_Ma_Sperling_Schumacher_2025, title={Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities}, DOI={10.48550/ARXIV.2507.07099}, journal={Arxiv}, publisher={Arxiv}, author={Wingenbach, Jan and Ares Santos, Laura and Ma, Xuekai and Sperling, Jan and Schumacher, Stefan}, year={2025} }
Wingenbach, Jan, Laura Ares Santos, Xuekai Ma, Jan Sperling, and Stefan Schumacher. “Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities.” Arxiv, 2025. https://doi.org/10.48550/ARXIV.2507.07099.
J. Wingenbach, L. Ares Santos, X. Ma, J. Sperling, and S. Schumacher, “Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities,” Arxiv, 2025, doi: 10.48550/ARXIV.2507.07099.
Wingenbach, Jan, et al. “Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities.” Arxiv, Arxiv, 2025, doi:10.48550/ARXIV.2507.07099.
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