Instituto de Ciencia de Materiales de Madrid
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Quantum transport, master equations, and exchange fluctuations

Robert Hussein and Sigmund Kohler
Phys. Rev. B 89, 205424 (2014)

We investigate to which extent a many-body Bloch-Redfield master equation description of quantum transport is consistent with the exact generalized equilibrium conditions known as exchange fluctuation theorems. Thereby we identify a class of master equations for which this is the case. Beyond this class, we find deviations which exhibit characteristic scaling laws as functions of the dot-lead tunneling, the inter-dot tunneling, and the temperature. These deviations are accompanied by an increase of lead energy fluctuations inherent in the Bloch-Redfield equation beyond rotating-wave approximation. We illustrate our results with numerical data for a double quantum dot attached to four leads.
arXiv:1403.1807 [cond-mat]

[ICMM-CSIC] [Condensed Matter Theory]
last modified: 18.6.2018 by Sigmund Kohler