Hierarchical construction of higher-order exceptional points

Abstract

The realization of higher-order exceptional points (HOEPs) can lead to orders of magnitude enhancement in light-matter interactions beyond the current fundamental limits. Unfortunately, implementing HOEPs in the existing schemes is a rather difficult task, due to the complexity and sensitivity to fabrication imperfections. Here we introduce a hierarchical approach for engineering photonic structures having HOEPs that are easier to build and more resilient to experimental uncertainties. We demonstrate our technique by an example that involves parity-time (PT) symmetric optical microring resonators with chiral coupling among the internal optical modes of each resonator. Interestingly, we find that the uniform coupling profile is not required to achieve HOEPs in this system -- a feature that implies the emergence of HOEPs from disorder and provides resilience against some fabrication errors. Our results are confirmed by using full-wave simulations based on Maxwell's equation in realistic optical material systems.

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Cited by in corpus (30)

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• Generating high-order quantum exceptional points in synthetic dimensions
• Non-Markovian Quantum Exceptional Points
• Higher-order exceptional point in a blue-detuned non-Hermitian cavity optomechanical system
• Revisiting the hierarchical construction of higher-order exceptional points
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
• New perspective on chiral exceptional points with application to discrete photonics
• Ultrasensitive Higher-Order Exceptional Points via Non-Hermitian Zero-Index Materials
• High-order spectral singularity
• Enhanced Frequency Conversion in Parity-Time Symmetry Line
• Enhanced coherent light-matter interaction and room-temperature quantum yield of plasmonic resonances engineered by a chiral exceptional point
• Multimode parity-time and loss-compensation symmetries in coupled waveguides with loss and gain
• Classification of multiple arbitrary-order non-Hermitian singularities
• Quantum Metrology with Higher-order Exceptional Points in Atom-cavity Magnonics
• Impact of non-Hermitian Mode interaction on Inter-cavity Light transfer
• Correlations at higher-order exceptional points in non-Hermitian models
• Enhanced response at exceptional points in multi-qubit systems for sensing
• High-Order Perfect Absorption in the Absence of Exceptional Point
• Recent advances in the combination of nonlinearity and exceptional points
• Exceptional deficiency of non-Hermitian systems
• Scalable higher-order exceptional surface with passive resonators
• Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: II. Nonconventional PT-symmetric dynamics and unidirectional coupling
• Fast recovery of parametric eigenvalues depending on several parameters and location of high order exceptional points
• Impact of noise on nonlinear-exceptional-point-based sensors
• Distance between exceptional points and diabolic points and its implication for the response strength of non-Hermitian systems
• Landau-Zener transitions through a pair of higher order exceptional points