Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-09-04
Physics
Condensed Matter
Statistical Mechanics
100 pages
Scientific paper
A multi-branch quantum circuit is considered from the viewpoint of coherent electron or wave transport. Starting with the closed system, we give analytical conditions for the appearance of two isolated localized states out of the energy band. In the open system, using the method of the effective non-Hermitian Hamiltonian, we study signal transmission through such a circuit. The super-radiant transition occurs when the average level width becomes comparable to the mean level spacing.We consider also the case with on-site disorder.
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