Charge transfer counting statistics revisited

Details Charge transfer counting statistics revisited Charge transfer counting statistics revisited

2002-07-15

arxiv.org/abs/cond-mat/0207343v2

Europhysics Letters, v. 63, pp. 485-491 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Minor changes, as published (7 pages, LaTeX, epl-style)

Scientific paper

10.1209/epl/i2003-00567-2

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 {\it et al.} (J. of Math. Phys. {\bf 37}, 4845 (1996)). 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.

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