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arXiv · 2108.05584

Application of topological resonances in experimental investigation of a Fermi golden rule in microwave networks

Michał Ławniczak·Jiří Lipovský·Małgorzata Białous·Leszek Sirko
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Abstract

We investigate experimentally a Fermi golden rule in two-edge and five-edge microwave networks with preserved time reversal invariance. A Fermi golden rule gives rates of decay of states obtained by perturbing embedded eigenvalues of graphs and networks. We show that the embedded eigenvalues are connected with the topological resonances of the analyzed systems and we find the trajectories of the topological resonances in the complex plane.

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Michał Ławniczak, Jiří Lipovský, Małgorzata Białous, Leszek Sirko. 2021-08-12. Application of topological resonances in experimental investigation of a Fermi golden rule in microwave networks. https://doi.org/10.1103/physreve.103.032208

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