Microscopic derivation of rate equations for quantum transport

Details Microscopic derivation of rate equations for quantum transport Microscopic derivation of rate equations for quantum transport

1995-11-06

arxiv.org/abs/cond-mat/9511026v2

Phys.Rev. B53 (1996) 15932

Physics

Condensed Matter

27 pages, 5 Figures. addendum - additional term is found to be present in the rate equations, which does not appear in the ord

Scientific paper

10.1103/PhysRevB.53.15932

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 Schr\"odinger 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.

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