Spontaneous Emission in Chaotic Cavities
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The spontaneous emission rate Γof a two-level atom inside a chaotic cavity fluctuates strongly from one point to another because of fluctuations in the local density of modes. For a cavity with perfectly conducting walls and an opening containing N wavechannels, the distribution of Γis given by P(Γ) \propto Γ^{N/2-1}(Γ+Γ_0)^{-N-1}, where Γ_0 is the free-space rate. For small N the most probable value of Γis much smaller than the mean value Γ_0.
4 pages, RevTeX, 1 figure
4 pages, RevTeX, 1 figure