Perturbing scattering resonances in non-Hermitian systems: a generalized Wigner-Smith operator formulation

2024/08/21 by Niall Byrnes, Matthew R. Foreman, Byrnes, Niall +1 · 2 citations
Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #Optics (physics.optics) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2408.11360

openalex publication_date 2024/08/21 · openalex created_date 2024/12/16 · openalex updated_date 2026/07/28

Abstract

Resonances of open non-Hermitian systems are associated with the poles of the system scattering matrix. Perturbations of the system cause these poles to shift in the complex frequency plane. In this work, we introduce a novel method for calculating shifts in scattering matrix poles using generalized Wigner-Smith operators. We link our method to traditional cavity perturbation theory and validate its effectiveness through application to complex photonic networks. Our findings underscore the versatility of generalized Wigner-Smith operators for analyzing a broad spectrum of resonant systems and provides new insight into resonant properties of non-Hermitian systems.

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• Multi-Objective Tweezers in Scattering Media
• Dynamic and Geometric Shifts in Wave Scattering

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