Full counting statistics of stationary particle beams

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dc.identifier.uri http://dx.doi.org/10.15488/8780
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/8833
dc.contributor.author Kiukas, J.
dc.contributor.author Ruschhaupt, A.
dc.contributor.author Werner, R.F.
dc.date.accessioned 2019-12-11T12:50:54Z
dc.date.available 2019-12-11T12:50:54Z
dc.date.issued 2013
dc.identifier.citation 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
dc.description.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 eng
dc.language.iso eng
dc.publisher College Park, MD : American Institute of Physics
dc.relation.ispartofseries Journal of Mathematical Physics 54 (2013), Nr. 4
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.subject quantum mechanic eng
dc.subject cryptography eng
dc.subject single particle state eng
dc.subject.ddc 530 | Physik ger
dc.title Full counting statistics of stationary particle beams
dc.type article
dc.type Text
dc.relation.essn 1089-7658
dc.relation.issn 0022-2488
dc.relation.doi https://doi.org/10.1063/1.4801780
dc.bibliographicCitation.issue 4
dc.bibliographicCitation.volume 54
dc.bibliographicCitation.firstPage 42109
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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