Experimental investigation of distributions of the off-diagonal elements of the scattering and the Wigner'sK matrices for networks with broken time reversal invariance - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2020

Experimental investigation of distributions of the off-diagonal elements of the scattering and the Wigner'sK matrices for networks with broken time reversal invariance

Micha L Lawniczak
  • Fonction : Auteur
Leszek Sirko
  • Fonction : Auteur

Résumé

We present an extensive experimental study of the distributions of the real and imaginary parts of the off-diagonal elements of the scattering matrixŜ and the Wigner's reactionK-matrix for open microwave networks with broken time (T) reversal invariance. Microwave Faraday circulators were applied in order to break T-invariance. The experimental distributions of the real and imaginary parts of the off-diagonal entries of the scattering matrixŜ are compared with the theoretical predictions from the supersymmetry random matrix theory [A. Nock, S. Kumar, H.-J. Sommers, and T. Guhr, Annals of Physics 342, 103-132 (2014)]. Furthermore, we show that the experimental results are in very good agreement with the recent predictions for the distributions of the real and imaginary parts of the off-diagonal elements of the Wigner's reactionK-matrix obtained within the framework of the Gaussian unitary ensemble of random matrix theory (RMT) [S. B. Fedeli and Y. V. Fyodorov, J. Phys. A: Math. Theor. 53, 165701 (2020)]. Both theories include losses as tunable parameters and are therefore well adapted to the experimental verification.
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Dates et versions

hal-02906077 , version 1 (24-07-2020)

Identifiants

  • HAL Id : hal-02906077 , version 1

Citer

Micha L Lawniczak, B. van Tiggelen, Leszek Sirko. Experimental investigation of distributions of the off-diagonal elements of the scattering and the Wigner'sK matrices for networks with broken time reversal invariance. Physical Review E , 2020, 102 (5), pp.052214. ⟨hal-02906077⟩

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