Staggered repulsion of transmission eigenvalues in symmetric open mesoscopic systems

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dc.creatorKopp, Marten
dc.creatorSchomerus, Henning
dc.creatorRotter, Stefan
dc.date2007-08-05
dc.date2008-08-08
dc.date.accessioned2026-07-07T09:56:17Z
dc.date.available2026-07-07T09:56:17Z
dc.descriptionQuantum systems with discrete symmetries can usually be desymmetrized, but this strategy fails when considering transport in open systems with a symmetry that maps different openings onto each other. We investigate the joint probability density of transmission eigenvalues for such systems in random-matrix theory. In the orthogonal symmetry class we show that the eigenvalue statistics manifests level repulsion between only every second transmission eigenvalue. This finds its natural statistical interpretation as a staggeredsuperposition of two eigenvalue sequences. For a large number of channels, the statistics for a system with a lead-transposing symmetry approaches that of a superposition of two uncorrelated sets of eigenvalues as in systems with a lead-preserving symmetry (which can be desymmetrized). These predictions are confirmed by numerical computations of the transmission-eigenvalue spacing distribution for quantum billiards and for the open kicked rotator.
dc.description11 pages, 6 Figures, substantially extended
dc.identifierhttps://arxiv.org/abs/0708.0690
dc.identifierhttp://arxiv.org/abs/0708.0690
dc.identifierPhys. Rev. B 78, 075312 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.075312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166925
dc.subjectMesoscale and Nanoscale Physics
dc.titleStaggered repulsion of transmission eigenvalues in symmetric open mesoscopic systems
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