Counting statistics of collective photon transmissions

Physics – Quantum Physics

Scientific paper

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extended results, 9 pages, 2 figures, to appear in Annals of Physics

Scientific paper

10.1016/j.aop.2011.07.008

We theoretically study cooperative effects in the steady-state transmission of photons through a medium of $N$ radiators. Using methods from quantum transport, we find a cross-over in scaling from $N$ to $N^2$ in the current and even higher powers of $N$ in the higher cumulants of the photon counting statistics as a function of the tunable source occupation. The effect should be observable for atoms confined within a nano-cell with a pumped optical cavity as photon source.

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