Two-soliton molecule bouncing in a dipolar Bose-Einstein condensates under the effect of gravity

TL;DR

This paper investigates the bouncing behavior of a two-soliton molecule in a dipolar Bose-Einstein condensate under gravity, combining analytical variational methods and numerical simulations to understand resonance oscillations and dynamics.

Contribution

It introduces a combined analytical and numerical study of two-soliton molecule dynamics in dipolar BECs, including resonance phenomena and Hamiltonian modeling.

Findings

Resonance oscillations of soliton center-of-mass and width observed

Qualitative agreement between variational approximation and numerical simulations

Hamiltonian dynamic system formulated for dipolar BECs

Abstract

The dynamics of a two-soliton molecule bouncing on the reflecting atomic mirror under the effect of gravity has been studied by analytical and numerical methods. The analytical description is based on the variational approximation. In numerical simulations, we observe the resonance oscillations of the two-soliton's center-of-mass position and width, induced by modulated atomic mirror. Theoretical predictions are verified by numerical simulations of the nonlocal Gross-Pitaevskii equation (GPE) and qualitative agreement between them is found. Hamiltonian dynamic system for a dipolar Bose-Einstein condensates (BECs) has been studied.