PMID: 15244902Jul 13, 2004Paper

Experimental simulation of quantum graphs by microwave networks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Oleh HulLeszek Sirko

Abstract

We present the results of experimental and theoretical study of irregular, tetrahedral microwave networks consisting of coaxial cables (annular waveguides) connected by T joints. The spectra of the networks were measured in the frequency range 0.0001-16 GHz in order to obtain their statistical properties such as the integrated nearest neighbor spacing distribution and the spectral rigidity Delta(3) (L). The comparison of our experimental and theoretical results shows that microwave networks can simulate quantum graphs with time reversal symmetry. In particular, we use the spectra of the microwave networks to study the periodic orbits of the simulated quantum graphs. We also present experimental study of directional microwave networks consisting of coaxial cables and Faraday isolators for which the time reversal symmetry is broken. In this case our experimental results indicate that spectral statistics of directional microwave networks deviate from predictions of Gaussian orthogonal ensembles in random matrix theory approaching, especially for small eigenfrequency spacing s, results for Gaussian unitary ensembles. Experimental results are supported by the theoretical analysis of directional graphs.

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Citations

Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michał LawniczakLeszek Sirko
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B DietzH A Weidenmüller
May 21, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michał ŁawniczakLeszek Sirko
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A J Martínez-MendozaJ A Méndez-Bermúdez
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michał ŁawniczakLeszek Sirko
Apr 8, 2017·Physical Review Letters·Stefano LepriGiovanni Giacomelli
Mar 20, 2018·Physical Review. E·A RehemanjiangH-J Stöckmann
Apr 1, 2019·Chaos·Min ZhouSteven M Anlage
May 6, 2019·Physical Review Letters·Michał ŁawniczakLeszek Sirko
Nov 15, 2016·Physical Review. E·Małgorzata BiałousLeszek Sirko
Aug 20, 2016·Physical Review Letters·A RehemanjiangH-J Stöckmann
Nov 3, 2017·Chaos·Min ZhouSteven M Anlage
Nov 20, 2014·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A MouadiliK Haddadi
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J A Méndez-BermúdezThomas K Dm Peron
Feb 12, 2017·Physical Review Letters·Huanan LiTsampikos Kottos
Aug 17, 2020·Physical Review. E·Vitalii YunkoLeszek Sirko
Jun 25, 2020·Physical Review. E·Michał ŁawniczakLeszek Sirko
Jan 17, 2021·Scientific Reports·Michał ŁawniczakLeszek Sirko
Nov 19, 2020·Nature Communications·Lei ChenSteven M Anlage
Oct 15, 2013·Physical Review Letters·Ram Band, Gregory Berkolaiko
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yu Dabaghian, R Blümel
Sep 26, 2012·Physical Review Letters·Oleh HulLeszek Sirko
Jul 30, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oleh Hul, Leszek Sirko
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oleh Hul
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G BáezR A Méndez-Sánchez
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Markus AllgaierUlrich Kuhl
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oleh HulLeszek Sirko
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S BittnerF Schäfer
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Michał ŁawniczakLeszek Sirko
Mar 16, 2007·Physical Review Letters·B DietzH A Weidenmüller
Oct 2, 2009·Physical Review Letters·B DietzH A Weidenmüller
Nov 12, 2013·Physical Review Letters·J A Franco-VillafañeT H Seligman
Jun 18, 2021·Physical Review. E·Lei ChenYan V Fyodorov
Jul 30, 2021·Scientific Reports·Michał ŁawniczakLeszek Sirko
Aug 21, 2021·Physical Review. E·J R YusupovD U Matrasulov

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