  We study the emergence of localization and entanglement in many-body systems
as a result of scattering measurements. We show that consecutive scattering
measurements on a many-body system can produce superposition states in position
space. The resulting states are signaled in the scattering distribution and
these states are robust under continued scattering. We also show that the
average scattering distribution for an ensemble of experiments gives the
initial state scattering distribution even when the initial state is completely
destroyed by the scattering process.

Quantum Physics