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 |
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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 |
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dc.relation.ispartofseries |
Journal of Mathematical Physics 54 (2013), Nr. 4 |
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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 |
|