Poisson counting in a coherent state
= Poisson counting in a coherent state
{c}
{title2=$P(n)=e^{-|\alpha|^2}|\alpha|^{2n}/n!$}
The normalized <coherent state> has number amplitude $e^{-|\alpha|^2/2}\alpha^n/\sqrt{n!}$, hence the displayed Poisson law with mean and <variance> $|\alpha|^2$. A product of coherent modes has factorized number <probabilities>.