An open multibranch quantum circuit is considered from the viewpoint of coherent electron or wave transport, both with and without intrinsic disorder. 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, with an important result of a long lifetime of localized states. When the average level width becomes comparable to the mean level spacing, the superradiant transition occurs. In the case of onsite disorder, we find an analytical estimate, confirmed by numerical data, for the robustness of the isolated states and their role in transport processes.

Coherent transport in multibranch quantum circuits / A. Ziletti; F. Borgonovi; G. L. Celardo; F. M. Izrailev; L. Kaplan; V. G. Zelevinsky. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - STAMPA. - 85:(2012), pp. 1-11. [10.1103/physrevb.85.052201]

Coherent transport in multibranch quantum circuits

G. L. Celardo
Membro del Collaboration Group
;
2012

Abstract

An open multibranch quantum circuit is considered from the viewpoint of coherent electron or wave transport, both with and without intrinsic disorder. 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, with an important result of a long lifetime of localized states. When the average level width becomes comparable to the mean level spacing, the superradiant transition occurs. In the case of onsite disorder, we find an analytical estimate, confirmed by numerical data, for the robustness of the isolated states and their role in transport processes.
2012
85
1
11
A. Ziletti; F. Borgonovi; G. L. Celardo; F. M. Izrailev; L. Kaplan; V. G. Zelevinsky
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1303722
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