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quant-ph2024★ 5 cited
Generalized Wigner-Smith analysis of resonance perturbations in arbitrary non-Hermitian systems
Niall Byrnes, Matthew R. Foreman
Perturbing resonant systems causes shifts in their associated scattering poles in the complex plane. In a previous study [arXiv: 2408.11360], we demonstrated that these shifts can…
physics.optics2024★ 3 cited
Perturbing scattering resonances in non-Hermitian systems: a generalized Wigner-Smith operator formulation
Niall Byrnes, Matthew R. Foreman
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 freque…
math-ph2024
Bootstrapping cascaded random matrix models: correlations in permutations of matrix products
Niall Byrnes, Gary R. W. Greaves, Matthew R. Foreman
Random matrix theory is a useful tool in the study of the physics of multiple scattering systems, often striking a balance between computation speed and physical rigour. Propagatio…