Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Transport: Fluctuations and Noise (joint session TT/ CPP/ DY)

DY 31.1: Talk

Wednesday, March 18, 2015, 11:30–11:45, H 3005

Quantum transport, master equations, and exchange fluctuations — •Sigmund Kohler and Robert Hussein — Instituto de Ciencia de Materiales de Madrid, CSIC, 28049 Madrid, Spain

We investigate to which extent a many-body Bloch-Redfield master equation description of transport in coupled quantum dots 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 and a quadruple quantum dot attached to four leads.

[1] R. Hussein and S. Kohler, Phys. Rev. B 89, 205424 (2014).