Geometric pair-number distribution
= Geometric pair-number distribution
{title2=$P(n)=(1-r)r^n$}
The pair count of a two-mode squeezed <vacuum> has $P(n)=(1-r)r^n$, where $r=|q|^2<1$. Its mean is $r/(1-r)$ and its <variance> is $r/(1-r)^2$. Equal mode occupations follow from pair creation, not from independent <particle> and <antiparticle> draws.