We study a composite quantum quench of the energy gap and the interactions in the interacting ϕ^4 model using a self-consistent approximation. Firstly we review the results for free theories where a quantum quench of the energy gap or mass leads for long times to stationary behaviour with thermal characteristics. An exception to this rule is the 2d case with zero mass after the quench. In the composite quench however we find that the effect of the interactions in our approximation is simply to effectively change the value of the mass. This means on the one hand that the interacting model also exhibits the same stationary behaviour and on the other hand that this is now true even for the massless 2d case. ; Comment: 20 pages, 15 figures / new citations added, minor changes, typos corrected.