Formation of soliton trains in Bose-Einstein condensates by temporal Talbot effect

TL;DR

This paper investigates how temporal matter-wave Talbot effect can generate soliton trains in Bose-Einstein condensates, highlighting the importance of box-like confinement and specific timing for soliton formation.

Contribution

It demonstrates a novel method for creating soliton trains in BECs via temporal Talbot effect, emphasizing the role of confinement and timing in soliton generation.

Findings

Existence of time intervals supporting soliton formation

Switching off the potential outside these intervals alters soliton count

Temporal Talbot effect offers a new soliton generation mechanism

Abstract

We study the recent observation of formation of matter-wave soliton trains in Bose-Einstein condensates. We emphasize the role of the box-like confinement of the Bose-Einstein condensate and find that there exist time intervals for the opening the box that support the generation of real solitons. When the box-like potential is switched off outside the existing time windows, the number of peaks in a train changes resembling missing solitons observed in the experiment. Our findings indicate that a new way of generating soliton trains in condensates through the temporal, matter-wave Talbot effect is possible.