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.

7 pages, 5 figures

References in corpus (9)

• Making Sense of Non-Hermitian Hamiltonians
• The physics of exceptional points
• Loss-induced suppression and revival of lasing
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Bistable diode action in left-handed periodic structures
• Subwavelength electromagnetic diode: one-way response of cascading nonlinear meta-atoms
• Coupling approach for the realization of a $\mathcal{P}\mathcal{T}$-symmetric potential for a Bose-Einstein condensate in a double well

Cited by in corpus (11)

• Exceptional precision of a nonlinear optical sensor at a square-root singularity
• Parametrically enhancing sensor sensitivity at an exceptional point
• Third-order Exceptional Point and Successive Switching among Three States in a Degenerate Optical Microcavity
• Nonreciprocal transmission of electromagnetic waves with nonlinear active plasmonic metasurfaces
• 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
• Oscillating potential well in complex plane and the adiabatic theorem
• Nonadiabatic Modal Dynamics Around a Third-order Exceptional Point in a planar waveguide
• Correlated Nonreciprocity around Conjugate Exceptional Points
• Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential