English

Time ordering and counting statistics

Mesoscale and Nanoscale Physics 2015-05-13 v3 Mathematical Physics math.MP

Abstract

The basic quantum mechanical relation between fluctuations of transported charge and current correlators is discussed. It is found that, as a rule, the correlators are to be time-ordered in an unusual way. Instances where the difference with the conventional ordering matters are illustrated by means of a simple scattering model. We apply the results to resolve a discrepancy concerning the third cumulant of charge transport across a quantum point contact.

Keywords

Cite

@article{arxiv.0907.3848,
  title  = {Time ordering and counting statistics},
  author = {S. Bachmann and G. M. Graf and G. B. Lesovik},
  journal= {arXiv preprint arXiv:0907.3848},
  year   = {2015}
}

Comments

19 pages, 1 figure; inconsequential mistake and typos corrected

R2 v1 2026-06-21T13:27:47.917Z