Adiabatic dynamics of periodic waves in Bose-Einstein condensate with time dependent atomic scattering length

TL;DR

This paper investigates how changing the atomic scattering length over time in a Bose-Einstein condensate can be used to control the formation of bright and dark solitons from periodic waves, enhancing manipulation techniques.

Contribution

It introduces a method to control soliton generation in BECs by modulating the scattering length dynamically, providing new insights into adiabatic wave evolution.

Findings

Variation of scattering length enables controlled soliton generation.

Periodic waves can be transformed into bright or dark solitons.

The approach offers a new tool for BEC wave manipulation.

Abstract

Evolution of periodic matter waves in one-dimensional Bose-Einstein condensates with time dependent scattering length is described. It is shown that variation of the effective nonlinearity is a powerful tool for controlled generation of bright and dark solitons starting with periodic waves.