Controlled Fission and Superposition of Vector Solitons in an Integrable Model of Two-Component Bose-Einstein Condensates

TL;DR

This paper studies the dynamics and interactions of vector solitons in two-component Bose-Einstein condensates, demonstrating controlled soliton fission and superposition using an integrable model with potential experimental applications.

Contribution

It constructs explicit multi-soliton solutions and shows how time-dependent parameters can control soliton interactions in two-component BECs.

Findings

Demonstrated controlled four-soliton fission.

Analyzed superposition and shape-preserving collisions.

Provided insights for experimental realization in BEC systems.

Abstract

We investigate the dynamics of vector solitons in a two-component Bose-Einstein condensates governed by the system of Gross-Pitaevskii equations. Using a gauge-transformation approach, we construct a four-soliton solution and analyze their interactions, including superposition states, fission, and shape-preserving collisions. We explore the ability of time-dependent parameters, such as the intra- and intercomponent interaction coefficients and trapping potential, to control the soliton properties. In particular, we demonstrate controlled four-soliton fission, highlighting its potential applications to quantum data processing and coherent matter-wave transport. The results suggest experimental realization in BEC systems and provide insights into nonlinear wave interactions in multicomponent quantum fluids.