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Charge transfer counting statistics revisited

A. Shelankov·J. Rammer
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Abstract

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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A. Shelankov, J. Rammer. 2003-08-31. Charge transfer counting statistics revisited. https://doi.org/10.1209/epl%2Fi2003-00567-2

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