Formulation of Time-Resolved Counting Statistics Based on a Positive-Operator-Valued Measure

Details Formulation of Time-Resolved Counting Statistics Based on a Positive-Operator-Valued Measure Formulation of Time-Resolved Counting Statistics Based on a Positive-Operator-Valued Measure

2008-06-25

arxiv.org/abs/0806.4110v2

Phys. Rev. Lett. 101, 206803 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.101.206803

We propose a derivation of the full counting statistics of electronic current based on a positive-operator-valued measure. Our approach justifies the Levitov-Lesovik formula in the long-time limit, but can be generalized to the detection of finite-frequency noise correlations. The combined action of the projection postulate and the quantum formula for current noise at high frequencies imply an additional white noise. Estimates for this additional noise are in accordance with known experiments. We propose an experimental test of our conjecture by a simultaneous measurement of high- and low-frequency noise.

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