Multiple dark-bright solitons in atomic Bose-Einstein condensates

TL;DR

This paper combines experimental observations and theoretical analysis to explore interactions and stability of multiple dark-bright solitons in two-component Bose-Einstein condensates, including effects of trapping potentials.

Contribution

It provides a systematic theoretical framework for understanding dark-bright soliton interactions and stability in BECs, extending to trapped systems and deriving equations of motion.

Findings

Analytical interaction models for two dark-bright solitons.

Existence and stability conditions for stationary soliton states.

Good agreement between oscillation frequencies and eigenfrequencies.

Abstract

We present experimental results and a systematic theoretical analysis of dark-br ight soliton interactions and multiple-dark-bright soliton complexes in atomic t wo-component Bose-Einstein condensates. We study analytically the interactions b etween two-dark-bright solitons in a homogeneous condensate and, then, extend ou r considerations to the presence of the trap. An effective equation of motion is derived for the dark-bright soliton center and the existence and stability of stationary two-dark-bright soliton states is illustrated (with the bright components being either in- or out-of-phase). The equation of motion provides the characteristic oscillation frequencies of the solitons, in good agreement with the eigenfrequencies of the anomalous modes of the system.