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

Abstract

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.

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

References in corpus (6)

• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
• Preservation of Positivity by Dynamical Coarse-Graining
• Conditional statistics of electron transport in interacting nanoscale conductors
• Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
• Improved position measurement of nano electromechanical systems using cross correlations