Convergence estimate from Zakharov system to stochastic Schr\"odinger equation

We consider a linear version of the $d$-dimensional Zakharov system parametrised by $\eps>0$ and subjected to a space-time white noise. We discuss the convergence rate of its solution to the solution of the stochastic Schr\"odinger equation as $\eps$ approaches $0$ at a fixed time $t$. To achieve this analysis, we use the Perturbed Test Function method.