Giant Non-reciprocity Near Exceptional Point Degeneracies

Abstract

We show that gyrotropic structures with balanced gain and loss that respect anti-linear symmetries exhibit a giant non-reciprocity at the so-called exact phase where the eigenfrequencies of the isolated non-Hermitian set-up are real. The effect occurs in a parameter domain near an exceptional point (EP) degeneracy, where mode-orthogonality collapses. The theoretical predictions are confirmed numerically in the microwave domain, where a non-reciprocal transport above 90dB is demonstrated, and are further verified using lump-circuitry modeling. The analysis allows us to speculate the universal nature of the phenomenon for any wave system where EP and gyrotropy can co-exist.

arXiv comment7 pages, 5 figures

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• Nonreciprocal transmission of electromagnetic waves with nonlinear active plasmonic metasurfaces
• Asymmetric Transmission in Photonic Structures with Phase-Change Components
• Nonlinearity Induced Anomalous Mode Collapsing and Non-chiral Asymmetric Mode Switching around multiple Exceptional Points
• Higher order topological degeneracies and towards unique successive state-switching in a four-level open system
• Frozen mode in an asymmetric serpentine optical waveguide
• Giant non-reciprocity and gyration through modulation-induced Hatano-Nelson coupling in integrated photonics
• Nonadiabatic Modal Dynamics Around a Third-order Exceptional Point in a planar waveguide
• Oscillating potential well in complex plane and the adiabatic theorem
• Correlated Nonreciprocity around Conjugate Exceptional Points
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential