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

Fuente: arXiv
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Auteurs principaux: Che, Jiongning, Gluth, Nils, Köhnes, Simon, Guhr, Thomas, Dietz, Barbara
Format: Preprint
Publié: 2025
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author Che, Jiongning
Gluth, Nils
Köhnes, Simon
Guhr, Thomas
Dietz, Barbara
author_facet Che, Jiongning
Gluth, Nils
Köhnes, Simon
Guhr, Thomas
Dietz, Barbara
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_09573
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Experimental study of the distributions of off-diagonal scattering-matrix elements of quantum graphs with symplectic symmetry
Che, Jiongning
Gluth, Nils
Köhnes, Simon
Guhr, Thomas
Dietz, Barbara
Quantum Physics
Statistical Mechanics
Chaotic Dynamics
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.
title Experimental study of the distributions of off-diagonal scattering-matrix elements of quantum graphs with symplectic symmetry
topic Quantum Physics
Statistical Mechanics
Chaotic Dynamics
url https://arxiv.org/abs/2505.09573