Temporal Talbot effect in interference of matter waves from arrays of Bose-Einstein condensates and transition to Fraunhofer diffraction

TL;DR

This paper investigates the evolution of interference patterns from arrays of Bose-Einstein condensates, highlighting the transition from Talbot collapse-revival behavior to Fraunhofer diffraction during expansion.

Contribution

It provides a detailed analysis of how matter wave interference patterns evolve over time, connecting Talbot effects with Fraunhofer diffraction in BEC arrays.

Findings

Identification of different interference pattern structures over time

Detailed study of the transition from Talbot to Fraunhofer patterns

Characterization of pattern transformations during BEC expansion

Abstract

We consider interference patterns produced by coherent arrays of Bose-Einstein condensates during their one-dimensional expansion. Several characteristic pattern structures are distinguished depending on value of the evolution time. Transformation of Talbot ``collapse-revival'' behavior to Fraunhofer interference fringes is studied in detail.