In this talk, I will consider the stochastic nonlinear Schrodinger equations (SNLS) with the emphasis being given on the long-time behavior of such equations driven by additive noise. In particular, the focus will be given to the so-called scattering problem for SNLS, highlighting our observations in the longterm dynamics and outlining an approach in order to establish our results in certain function spaces peculiar to crucial symmetries and conservation laws of solutions. This is a recent joint work (https://arxiv.org/abs/2412.03469) with Engin Başakoğlu (ShanghaiTech University), Faruk Temur (Izmir Institute of Technology), and Barış Yeşiloglu (Boğaziçi University).