Localization and entanglement through scattering measurements

TL;DR

This paper investigates how scattering measurements can induce localization and entanglement in many-body systems, producing robust superposition states detectable via scattering distributions, even when the initial state is destroyed.

Contribution

It demonstrates that consecutive scattering measurements can generate and reveal superposition states in many-body systems, highlighting their robustness and the ability to infer initial states from scattering data.

Findings

Scattering measurements produce superposition states in position space.

Resulting states are robust under continued scattering.

Ensemble average scattering distribution reflects the initial state.

Abstract

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.