Vortex-line solitons in a periodically modulated Bose gas

TL;DR

This paper investigates vortex-line solitons in a Bose-Einstein condensate within a 1D optical lattice, deriving a discrete Gross-Pitaevskii equation to describe nonlinear excitations and proposing experimental realization.

Contribution

It introduces a novel discrete model for vortex-line dynamics in a modulated Bose gas and predicts the existence of vortex-line solitons with current experimental methods.

Findings

Discrete 1D Gross-Pitaevskii equation describes vortex dynamics

Bright and gray vortex-line solitons are predicted

Experimental creation of vortex-line solitons is feasible

Abstract

We study the nonlinear excitations of a vortex-line in a Bose-Einstein condensate trapped in a one-dimensional optical lattice. We find that the classical Euler dynamics of the vortex results in a description of the vortex line in terms of a (discrete) one-dimensional Gross-Pitaevskii equation, which allows for both bright and gray soliton solutions. We discuss these solutions in detail and predict that it is possible to create vortex-line solitons with current experimental capabilities.