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Phys. Rev. B 53, 15932–15943 (1996)

Microscopic derivation of rate equations for quantum transport

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S. A. Gurvitz and Ya. S. Prager
Department of Particle Physics, Weizmann Institute of Science, Rehovot 76100, Israel

Received 23 February 1996; published in the issue dated 15 June 1996

It is shown that under certain conditions the resonant transport in mesoscopic systems can be described by modified (quantum) rate equations, which resemble the optical Bloch equations with some additional terms. Detailed microscopic derivation from the many-body Schrödinger equation is presented. Special attention is paid to the Coulomb blockade and quantum coherence effects in coupled quantum dot systems. The distinction between classical and quantum descriptions of resonant transport is clearly manifested in the modified rate equations. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.53.15932
DOI:
10.1103/PhysRevB.53.15932
PACS:
72.10.Bg, 73.40.Gk, 73.20.Dx, 05.60.+w