Abstract.
A simplified scheme for the investigation of cooperative effects in the quantum jump statistics of small numbers of fluorescing atoms and ions in a trap is presented. It allows the analytic treatment of three dipole-dipole interacting four-level systems which model the relevant level scheme of Ba+ ions. For the latter, a huge rate of double and triple jumps was reported in a former experiment and the huge rate was attributed to the dipole-dipole interaction. Our theoretical results show that the effect of the dipole-dipole interaction on these rates is at most 5% and that for the parameter values of the experiment there is practically no effect. Consequently it seems that the dipole-dipole interaction can be ruled out as a possible explanation for the huge rates reported in the experiment.
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Hannstein, V., Hegerfeldt, G. Simplified approach to double jumps for fluorescing dipole-dipole interacting atoms. Eur. Phys. J. D 38, 415–422 (2006). https://doi.org/10.1140/epjd/e2006-00076-4
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DOI: https://doi.org/10.1140/epjd/e2006-00076-4