Electron Counting Statistics and Coherent States of Electric Current

Simple item page
dc.creatorLevitov, L. S.
dc.creatorLee, H. -W.
dc.creatorLesovik, G. B.
dc.date1996-07-19
dc.date.accessioned2026-07-07T09:31:45Z
dc.date.available2026-07-07T09:31:45Z
dc.descriptionA theory of electron counting statistics in quantum transport is presented. It involves an idealized scheme of current measurement using a spin 1/2 coupled to the current so that it precesses at the rate proportional to the current. Within such an approach, counting charge without breaking the circuit is possible. As an application, we derive the counting statistics in a single channel conductor at finite temperature and bias. For a perfectly transmitting channel the counting distribution is gaussian, both for zero-point fluctuations and at finite temperature. At constant bias and low temperature the distribution is binomial, i.e., it arises from Bernoulli statistics. Another application considered is the noise due to short current pulses that involve few electrons. We find the time-dependence of the driving potential that produces coherent noise-minimizing current pulses, and display analogies of such current states with quantum-mechanical coherent states.
dc.description43 pages, LaTeX, to appear in the Journal of Mathematical Physics special volume on Mesoscopic Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/9607137
dc.identifierhttp://arxiv.org/abs/cond-mat/9607137
dc.identifierJ. Math. Phys. 37, 4845 (1996)
dc.identifierdoi:10.1063/1.531672
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158571
dc.subjectCondensed Matter
dc.titleElectron Counting Statistics and Coherent States of Electric Current
dc.typetext

Files

Collections

arXiv