Coherent transport in multi-branch circuits

Abstract

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 and find an analytical estimate, confirmed by numerical data, for the robustness of the isolated states and their role in transport processes.

Phys. Rev. B 85, 052201 (2012). 5 pages

References in corpus (4)

• Environment-Assisted Quantum Transport
• The 3D transport diagram of a triple quantum dot
• Topology Induced Spatial Bose-Einstein Condensation for Bosons on Star-Shaped Optical Networks
• Spatially Inhomogeneous Superconducting and Bosonic Networks With Emergent Complex Behaviors

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