Propagation of matter wave solitons in periodic and random nonlinear potentials

TL;DR

This paper investigates how bright matter wave solitons move and decay in Bose-Einstein condensates with spatially varying nonlinear potentials, providing analytical insights and confirming them with numerical simulations.

Contribution

It offers analytical solutions for soliton dynamics in periodic and random nonlinear potentials, advancing understanding of matter wave behavior in complex environments.

Findings

Analytical expressions for soliton motion and radiation

Identification of stable propagation regimes

Good agreement between theory and numerical simulations

Abstract

We study the motion of bright matter wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical results for the soliton motion, the radiation of matter wave, and the radiative soliton decay in such configurations of the Bose-Einstein condensate. The stable regimes of propagation are analyzed. The results are in remarkable agreement with the numerical simulations of the Gross-Pitaevskii equation with periodic or random spatial variations of the mean field interactions.