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Quantum systems with discrete symmetries can usually be desymmetrized, butthis strategy fails when considering transport in open systems with a symmetrythat maps different openings onto each other. We investigate the jointprobability density of transmission eigenvalues for such systems inrandom-matrix theory. In the orthogonal symmetry class we show that theeigenvalue statistics manifests level repulsion between only every secondtransmission eigenvalue. This finds its natural statistical interpretation as astaggeredsuperposition of two eigenvalue sequences. For a large number ofchannels, the statistics for a system with a lead-transposing symmetryapproaches that of a superposition of two uncorrelated sets of eigenvalues asin systems with a lead-preserving symmetry (which can be desymmetrized). Thesepredictions are confirmed by numerical computations of thetransmission-eigenvalue spacing distribution for quantum billiards and for theopen kicked rotator.

Staggered repulsion of transmission eigenvalues in symmetric open mesoscopic systems