Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2007-08-05
Phys. Rev. B 78, 075312 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 6 Figures, substantially extended
Scientific paper
10.1103/PhysRevB.78.075312
Quantum 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.
Kopp Marten
Rotter Stefan
Schomerus Henning
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