Crossover from Conserving to Lossy Transport in Circular Random Matrix Ensembles

Details Crossover from Conserving to Lossy Transport in Circular Random Matrix Ensembles Crossover from Conserving to Lossy Transport in Circular Random Matrix Ensembles

2005-11-18

arxiv.org/abs/cond-mat/0511477v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.96.136805

In a quantum dot with three leads the transmission matrix t_{12} between two of these leads is a truncation of a unitary scattering matrix S, which we treat as random. As the number of channels in the third lead is increased, the constraints from the symmetry of S become less stringent and t_{12} becomes closer to a matrix of complex Gaussian random numbers with no constraints. We consider the distribution of the singular values of t_{12}, which is related to a number of physical quantities. Changing the number of channels in the third lead corresponds to increasing the amount of loss in the system (and is distinct from prior uses of a third lead to model dephasing).

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