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Enhanced sensitivity with nonlinearity-induced exceptional points degeneracy lifting

Haichuan Li, Lei Chen, Wenhao Wu, Hongteng Wang, Tianqi Wang, Yu Zhong, Feifan Huang, Gui‐Shi Liu, Yaofei Chen, Yunhan Luo, Zhe Chen

2024Communications Physics15 citationsDOIOpen Access PDF

Abstract

Abstract Bifurcation of exceptional points (EPs), particularly higher-order EPs, can offer applications in metrology by amplifying sensitivity, but this method suffers from a tradeoff between sensitivity and robustness. To break this constraint, we experimentally introduce nonlinearity into the EP degeneracy lifting at the coupled electric resonators and observe a sixth-order nonlinear bifurcation which amplifies the sensitivity elevenfold compared to the conventional EP-based approach operating in the linear regime, while maintaining the degrees of freedom, thereby without cost in robustness. Moreover, we discover a chaotic dynamics near the EP due to the nonlinear contribution, which constitutes a distinct difference from the EP degeneracy lifting in the linear regime with random noise. Our study expands the scope of EP degeneracy lifting into nonlinearity, providing a paradigm to exploit the benefit of EPs.

Topics & Concepts

Degeneracy (biology)Sensitivity (control systems)Nonlinear systemMathematicsPhysicsEngineeringQuantum mechanicsBiologyElectronic engineeringBioinformaticsQuantum Mechanics and Non-Hermitian PhysicsNonlinear Waves and SolitonsNonlinear Photonic Systems
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