Boundary-Driven Exceptional Points in Photonic Waveguide Lattices

TL;DR

This paper predicts and analyzes boundary-driven exceptional points in Hermitian photonic waveguide lattices with defects, revealing tunable non-Hermitian physics through boundary effects and memory effects.

Contribution

It introduces a novel boundary-driven mechanism for exceptional points in Hermitian systems, with an exact analytic approach to defect dynamics and tunable parameters.

Findings

Exceptional points arise from boundary reflections in photonic lattices.

Defect dynamics exhibit non-Markovian memory effects.

Resonance coalescence can be tuned by defect position and coupling.

Abstract

We predict and analyze boundary-driven exceptional points in semi-infinite Hermitian photonic waveguide lattices with a side-coupled defect. The exceptional points arise from coherent reflections at the lattice termination, which induce strong memory effects in the defect dynamics. Using an exact analytic approach, we derive the defect's non-Markovian memory kernel, revealing the trajectories and coalescence conditions of the resonances, which can be precisely tuned by the defect position and the coupling strength. Our results provide a simple and experimentally accessible platform for exploring memory-enabled non-Hermitian physics in Hermitian photonic lattices.