Full Counting Statistics of Non-Commuting Variables: the Case of Spin Counts

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dc.creatorDi Lorenzo, Antonio
dc.creatorCampagnano, Gabriele
dc.creatorNazarov, Yuli V.
dc.date2005-10-08
dc.date.accessioned2026-07-07T06:44:13Z
dc.date.available2026-07-07T06:44:13Z
dc.descriptionWe discuss the Full Counting Statistics of non-commuting variables with the measurement of successive spin counts in non-collinear directions taken as an example. We show that owing to an irreducible detector back-action, the FCS in this case may be sensitive to the dynamics of the detectors, and may differ from the predictions obtained with using a naive version of the Projection Postulate. We present here a general model of detector dynamics and path-integral approach to the evaluation of FCS. We concentrate further on a simple "diffusive" model of the detector dynamics where the FCS can be evaluated with transfer-matrix method. The resulting probability distribution of spin counts is characterized by anomalously large higher cumulants and substantially deviates from Gaussian Statistics.
dc.description11 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0510215
dc.identifierhttp://arxiv.org/abs/cond-mat/0510215
dc.identifierPhys. Rev. B 73, 125311 (2006)
dc.identifierdoi:10.1103/PhysRevB.73.125311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102703
dc.subjectMesoscale and Nanoscale Physics
dc.titleFull Counting Statistics of Non-Commuting Variables: the Case of Spin Counts
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