On the problem of negative probabilities in time-resolved full counting statistics
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 ; 150 (2009), 2. - 022005. - Institute of Physics Publishing (IOP). - ISSN 1742-6588. - eISSN 1742-6596
Abstract
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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BEDNORZ, 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). 150(2), 022005. ISSN 1742-6588. eISSN 1742-6596. Available under: doi: 10.1088/1742-6596/150/2/022005BibTex
@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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