Bright soliton trains of trapped Bose-Einstein condensates

TL;DR

This paper models the dynamics of bright soliton trains in trapped Bose-Einstein condensates, deriving interaction potentials and exploring formation mechanisms due to quantum phase fluctuations.

Contribution

It introduces a variational approach to analyze soliton train dynamics and provides new insights into their formation from phase fluctuations.

Findings

Derived the interaction potential between solitons.

Analyzed the formation of soliton trains from phase fluctuations.

Provided a variational framework for soliton dynamics.

Abstract

We variationally determine the dynamics of bright soliton trains composed of harmonically trapped Bose-Einstein condensates with attractive interatomic interactions. In particular, we obtain the interaction potential between two solitons. We also discuss the formation of soliton trains due to the quantum mechanical phase fluctuations of a one-dimensional condensate.