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

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.

9 pages, 4 figures

References in corpus (7)

• Quantum and Wave Dynamical Chaos in Superconducting Microwave Billiards
• Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance
• Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption
• Experimental investigation of Wigner's reaction matrix for irregular graphs with absorption
• Non-Weyl Microwave Graphs
• Investigation of nodal domains in the chaotic microwave ray-splitting rough billiard
• The edge switch transformation in microwave networks

Cited by in corpus (3)

• Use of Transmission and Reflection Complex Time Delays to Reveal Scattering Matrix Poles and Zeros: Example of the Ring Graph
• Bound states in the continuum induced via local symmetries in complex structures
• Investigation of the enhancement factor in the regime of semi-Poisson statistics in a singular microwave cavity