Squeezed thermal state (source code)

= Squeezed thermal state
{title2=$V_{1,2}=(2n_{\rm th}+1)e^{\mp2r}/4$}

Applying a <single-mode squeeze operator> to a thermal state gives the displayed principal optical-quadrature <variances>. Their uncertainty product exceeds the pure-state minimum when $n_{\rm th}>0$. Sufficient squeezing is needed to put the quiet <optical quadrature> below the vacuum reference.