Volume 63, Number 4, August 2003
|Page(s)||485 - 491|
|Published online||01 November 2003|
Charge transfer counting statistics revisited
Department of Physics, Umeå University - 901 87 Umeå, Sweden
2 A. F. Ioffe Physico-Technical Institute - 194021 St. Petersburg, Russia
Accepted: 11 June 2003
Charge transfer statistics of quantum particles is obtained by analysing the time evolution of the many-body wave function. Exploiting properly chosen gauge transformations, we construct the probabilities for transfers of a discrete number of particles. Generally, the derived formula for counting statistics differs from the one previously obtained by Levitov et al. (J. Math. Phys., 37 (1996) 4845). The two formulae agree only if the initial state is prohibited from being a superposition of different charge states. Their difference is illustrated for cases of a single particle and a tunnel junction, and the role of charge coherence is demonstrated.
PACS: 03.65.Ta – Foundations of quantum mechanics; measurement theory / 05.60.Gg – Quantum transport / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps
© EDP Sciences, 2003
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