# Spatiotemporal vortex rings in atomic Bose-Einstein condensates

## TL;DR

This paper explores the formation, dynamics, and stability of spatiotemporal vortex rings in atomic Bose-Einstein condensates, revealing their potential as topological structures in ultracold gases with implications for experimental observation.

## Contribution

It introduces the concept of spatiotemporal vortex rings in BECs and analyzes their formation and stability under different interatomic interactions.

## Key findings

- Spatiotemporal vortex rings naturally appear as periodic phase dislocations.
- The stability of these structures depends on the nature of interatomic interactions.
- Theoretical results suggest possible experimental observation of these topological structures.

## Abstract

We investigate spatiotemporal vortex rings with phase dislocation both in space and time. It is demonstrated that these structures naturally appear as a periodical in time edge phase dislocation at the low-density region of a perturbed atomic Bose-Einstein condensate. The condition of formation, dynamics and stability of the spatiotemporal vortex rings are investigated for repulsive and attractive interatomic interactions. These theoretical findings open up a perspective for experimental observation of novel type of topological coherent structures in ultracold gases.