# The Talbot effect in the presence of interactions

## TL;DR

This paper investigates how interactions affect the Talbot effect in bosonic atoms within optical lattices, demonstrating that the Talbot signal remains a reliable measure of phase coherence despite interactions and presenting the first 3D Talbot effect.

## Contribution

It provides experimental and theoretical analysis of the Talbot effect with interactions, showing its robustness as a phase coherence probe in interacting quantum gases.

## Key findings

- Interactions reduce revival contrast but preserve proportionality to phase coherence
- Talbot interferometry remains effective for studying phase correlations with interactions
- First demonstration of three-dimensional Talbot effect

## Abstract

We study both experimentally and theoretically, considering bosonic atoms in a periodic potential, the influence of interactions in a Talbot interferometer. While interactions decrease the contrast of the revivals, we find that over a wide range of interactions the Talbot signal is still proportional to the phase coherence of the matter wave field. Our results confirm that Talbot interferometry can be a useful tool to study finite range phase correlations in an optical lattice even in the presence of interactions. The relative robustness of the Talbot signal is supported by the first demonstration of the three-dimensional Talbot effect.