  We investigate kink-antikink scattering in the $\lambda \phi^4$ model in the
presence of an additional scalar field, $\psi$, that is in its quantum vacuum
and interacts with $\phi$ via a $\xi \phi^2\psi^2$ term where $\xi$ is the
coupling. The final state of such a scattering is either a bound state with
eventual annihilation or a reflection of the kink-antikink pair. Without the
$\psi$ field, the outcome is known to depend fractally on the initial velocity
of the kink-antikink pair. In the quantum vacuum of the $\psi$ field, the
fractal dependence gets modified and disappears above a critical interaction
strength, $\xi \approx 0.1$.
