Experimental study of the distributions of off-diagonal scattering-matrix elements of quantum graphs with symplectic symmetry

• URL: http://arxiv.org/abs/2505.09573v2
• Date: Sun, 27 Jul 2025 16:21:30 GMT
• Title: Experimental study of the distributions of off-diagonal scattering-matrix elements of quantum graphs with symplectic symmetry
• Authors: Jiongning Che, Nils Gluth, Simon Köhnes, Thomas Guhr, Barbara Dietz,
• Abstract summary: We study the distribution of the off-diagonal elements of the scattering matrix of open microwave networks with symplectic symmetry and a chaotic wave dynamics.<n>We demonstrate that deviations from random-matrix theory predictions observed in the distributions may be attributed to the fact that the subgraphs are not fully connected.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We report on experimental studies of the distribution of the off-diagonal elements of the scattering matrix of open microwave networks with symplectic symmetry and a chaotic wave dynamics. These consist of two geometrically identical subgraphs with unitary symmetry described by complex conjugate Hamiltonians, that are coupled by a pair of bonds. The results are compared to random-matrix theory predictions obtained on the basis of the Heidelberg approach for the scattering matrix of open quantum-chaotic systems. We demonstrate that deviations from random-matrix theory predictions observed in the distributions may be attributed to the fact that the subgraphs are not fully connected.

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