The influence of charge detection on counting statistics

Details The influence of charge detection on counting statistics The influence of charge detection on counting statistics

2008-09-10

arxiv.org/abs/0809.1837v1

J. Stat. Mech. (2009) P01048

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 2 figures, Contribution to 5-th International Conference on Unsolved Problems on Noise, Lyon, France, June 2-6, 2008

Scientific paper

10.1088/1742-5468/2009/01/P01048

We consider the counting statistics of electron transport through a double quantum dot with special emphasis on the dephasing induced by a nearby charge detector. The double dot is embedded in a dissipative enviroment, and the presence of electrons on the double dot is detected with a nearby quantum point contact. Charge transport through the double dot is governed by a non-Markovian generalized master equation. We describe how the cumulants of the current can be obtained for such problems, and investigate the difference between the dephasing mechanisms induced by the quantum point contact and the coupling to the external heat bath. Finally, we consider various open questions of relevance to future research.

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