Coupled unidirectional chaotic microwave graphs

• URL: http://arxiv.org/abs/2409.03493v1
• Date: Thu, 5 Sep 2024 13:00:25 GMT
• Title: Coupled unidirectional chaotic microwave graphs
• Authors: Omer Farooq, Afshin Akhshani, Michał Ławniczak, Małgorzata Białous, Leszek Sirko,
• Abstract summary: We investigate the undirected open microwave network $Gamma absorption with internal composed of two coupled directed halves. The two-port scattering matrix of the network $Gamma$ is measured and the spectral statistics and the elastic enhancement factor of the network are evaluated.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate experimentally the undirected open microwave network $\Gamma $ with internal absorption composed of two coupled directed halves, unidirectional networks $\Gamma_{+} $ and $\Gamma_{-} $, corresponding to two possible directions of motion on their edges. The two-port scattering matrix of the network $\Gamma$ is measured and the spectral statistics and the elastic enhancement factor of the network are evaluated. The comparison of the number of experimental resonances with the theoretical one predicted by the Weyl's law shows that within the experimental resolution the resonances are doubly degenerate. This conclusion was also corroborated by the numerical calculations. Though the network is characterized by the time reversal symmetry the missing level spectral statistics and the elastic enhancement factor are rather close to the Gaussian unitary ensemble predictions in random matrix theory. We used numerical calculations for the open non-dissipative quantum graph possessing the same structure as the microwave network $\Gamma$ to investigate the doublet structures in the spectrum which otherwise would not be experimentally resolved. We show that the doublet size distribution is close to the Poisson distribution.

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