= Uniform pumped polariton condensate
{title2=$n_\infty=\alpha/\beta$}
For the cubic <complex Ginzburg–Landau equation> with $\alpha,\beta>0$, $\Psi=\sqrt{\alpha/\beta}\,e^{-i\mu t}$ is spatially uniform, with $\mu=g\alpha/\beta-s$. In the <reservoir reduction of a polariton condensate>, its pump threshold is $P_{\rm th}=\gamma_C\gamma_R/R_R$ and its <number density> is $(\gamma_R/R_R)(1-P_{\rm th}/P)$. The full two-field homogeneous model instead gives $(P-P_{\rm th})/\gamma_C$. These agree near threshold only to the expansion's accuracy. Existence of the homogeneous solution does not imply stability for arbitrary interaction coefficients.
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