Matter wave soliton bouncer

TL;DR

This paper investigates the behavior of matter wave solitons bouncing on an atomic mirror under gravity, analyzing resonant oscillations and Fermi-type acceleration through analytical and numerical methods.

Contribution

It introduces a variational analytical approach to describe soliton dynamics and demonstrates Fermi-type acceleration by periodically modulating the mirror's position.

Findings

Resonant oscillations of soliton's center of mass and width are observed.

Fermi-type acceleration occurs when the mirror's position is periodically varied.

Analytical predictions agree qualitatively with numerical simulations of the Gross-Pitaevskii equation.

Abstract

Dynamics of a matter wave soliton bouncing on the reflecting surface (atomic mirror) under the effect of gravity has been studied by analytical and numerical means. The analytical description is based on the variational approach. Resonant oscillations of the soliton's center of mass and width, induced by appropriate modulation of the atomic scattering length and the slope of the linear potential are analyzed. In numerical experiments we observe the Fermi type acceleration of the soliton when the vertical position of the reflecting surface is periodically varied in time. Analytical predictions are compared with the results of numerical simulations of the Gross-Pitaevskii equation and qualitative agreement between them is found.