A low-dimensional detector model for full counting statistics: Trajectories, Back-Action, and Fidelity

Details A low-dimensional detector model for full counting statistics: Trajectories, Back-Action, and Fidelity A low-dimensional detector model for full counting statistics: Trajectories, Back-Action, and Fidelity

2010-04-15

arxiv.org/abs/1004.2604v2

Physical Review B (Rapid Communications) 82, 041303(R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures, changed title, extensively re-organized version with improved presentation

Scientific paper

10.1103/PhysRevB.82.041303

We study the combined counting statistics of two capacitively coupled transport channels. In particular, we examine the conditions necessary for utilizing one channel as detector sensitive to the occupation of the other. A good detector fidelity may be achieved in a bistable regime when the tunneling rates through the two channels are vastly different -- even when the physical back-action of the detector on the probed channel is large. Our methods allow to estimate the error of charge counting detectors from time-resolved current measurements -- which have been obtained in recent experiments -- alone.

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