Dynamical localization of matter wave solitons in managed barrier potentials

TL;DR

This paper investigates how matter wave solitons can be dynamically trapped by oscillating barrier potentials, using an averaged GP equation and numerical simulations to confirm the trapping mechanism.

Contribution

It introduces an averaged GP equation approach to analyze soliton trapping in oscillating barriers, providing new insights into matter wave control.

Findings

Solitons can be dynamically trapped by effective double barriers

Analytical predictions match numerical simulations

Oscillating barriers influence soliton dynamics significantly

Abstract

The bright matter wave soliton propagation through a barrier with a rapidly oscillating position is investigated. The averaged over rapid oscillations Gross-Pitaevskii (GP) equation is derived. It is shown that the soliton is dynamically trapped by the effective double-barrier. The analytical predictions for the soliton effective dynamics is confirmed by the numerical simulations of the full GP equation.