2003/03/27 by Markus Kindermann, Kindermann, Markus, Yuli V. Nazarov +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Neural Networks and Applications #Statistical Mechanics and Entropy #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/0303590
27 pages, 2 figures, contribution to "Quantum Noise", edited by Yu. V. Nazarov and Ya. M. Blanter (Kluwer)
arxiv created 2003/03/27 · openalex publication_date 2003/03/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review several ways of defining the statistics of charge that is transmitted through an electric circuit, the so-called "counting statistics". We first pursue two approaches that explain the origin of "negative probabilities" that have been found earlier in this context. The first analysis involves degrees of freedom of the electric circuit only. In the second approach an idealized charge detector is introduced. We study then general linear detectors and how their back action on the electric conductor affects the statistics of transferred charge. Phase-coherent conductors in the presence of an electromagnetic environment are studied within a Keldysh action approach.