Marco Merkli, Mark Penney
We investigate the history of quantum measurements on scattered probes. Before scattering, the probes are independent, but they become entangled afterwards, due to the interaction with the scatterer. The collection of measurement results (the history) is a stochastic process of dependent random variables. We link the asymptotic properties of this process to spectral characteristics of the dynamics. We show that the process has decaying time correlations and that a zero-one law holds. We deduce that if the incoming probes are not sharply localized with respect to the spectrum of the measurement operator, then the process does not converge. Nevertheless, the scattering modifies the measurement outcome frequencies. We show that those are the fluxes of the von Neumann measurement projections in the initial probe-scatterer state. We illustrate the results on the Jaynes-Cummings model.
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http://arxiv.org/abs/1210.7635
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