Full counting statistics of stationary particle beams

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Kiukas, J.; Ruschhaupt, A.; Werner, R.F.: Full counting statistics of stationary particle beams. In: Journal of Mathematical Physics 54 (2013), Nr. 4, 042109. DOI: https://doi.org/10.1063/1.4801780

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Abstract: 
We present a general theoretical framework for treating particle beams as time-stationary limits of many particle systems. Due to stationarity, the total particle number diverges, and a description in Fock space is no longer possible. Nevertheless, we show that when describing the particle detection via second quantized arrival time observables, such beams exhibit a well-defined “local” counting statistics, that is, full counting statistics of all clicks falling into any given finite time interval. We also treat in detail a realization of such a beam via the long time limit of a source creating particles in a fixed initial state from which they then evolve freely. From the mathematical point of view, the beam is described by a quasi-free state which, in the one-particle level, is locally trace class with respect to the operator valued measure describing the time observable; this ensures the existence of a Fredholm determinant defining the characteristic function of the counting statistics
License of this version: Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
Document Type: article
Publishing status: publishedVersion
Issue Date: 2013
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
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1 image of flag of Germany Germany 5 50.00%
2 image of flag of Netherlands Netherlands 1 10.00%
3 image of flag of India India 1 10.00%
4 image of flag of United Kingdom United Kingdom 1 10.00%
5 image of flag of China China 1 10.00%
6 image of flag of Brazil Brazil 1 10.00%

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