On the problem of negative probabilities in time-resolved full counting statistics

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2009
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Journal of Physics: Conference Series. Institute of Physics Publishing (IOP). 2009, 150(2), 022005. ISSN 1742-6588. eISSN 1742-6596. Available under: doi: 10.1088/1742-6596/150/2/022005
Zusammenfassung

We show that the standard Keldysh formulation of full counting statistics breaks down, when trying to interpret it directly in terms of a probability for time-dependent currents, since it leads to negative probability density. We propose a positive operator valued measure, which effectively accounts for some detector dynamics, but reproduces the Keldysh result in the low-frequency limit. However, the detector dynamics adds a large white Gaussian detection noise, which should be visible in experiment. The original negative probability can be measured indirectly by two independent detectors.

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ISO 690BEDNORZ, Adam, Wolfgang BELZIG, 2009. On the problem of negative probabilities in time-resolved full counting statistics. In: Journal of Physics: Conference Series. Institute of Physics Publishing (IOP). 2009, 150(2), 022005. ISSN 1742-6588. eISSN 1742-6596. Available under: doi: 10.1088/1742-6596/150/2/022005
BibTex
@article{Bednorz2009probl-58506,
  year={2009},
  doi={10.1088/1742-6596/150/2/022005},
  title={On the problem of negative probabilities in time-resolved full counting statistics},
  number={2},
  volume={150},
  issn={1742-6588},
  journal={Journal of Physics: Conference Series},
  author={Bednorz, Adam and Belzig, Wolfgang},
  note={Article Number: 022005}
}
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