# Magnetic soliton molecules in binary condensates

## TL;DR

This paper investigates magnetic soliton molecules in binary Bose-Einstein condensates, analyzing their formation, stability, and collision dynamics through analytical and numerical methods, and suggests experimental realization is feasible.

## Contribution

It provides the first detailed analysis of bound states of magnetic solitons, including their interaction potential, dissociation energy, and collision behaviors in binary condensates.

## Key findings

- Bound states of magnetic solitons can form stable molecules.
- Collision dynamics include dipole-like interactions between bound states.
- Analytical results agree well with numerical simulations.

## Abstract

Two-component Bose-Einstein condensates in the miscible phase can support polarization solitary waves, known as magnetic solitons. By calculating the interaction potential between two magnetic solitons, we elucidate the mechanisms and conditions for the formation of bound states -- or molecules -- and support these predictions with dynamical simulations. We analytically determine the dissociation energy of bound states consisting of two oppositely polarized solitons and find good agreement with full numerical simulations. Collisions between bound states -- either with other bound states or with individual solitons -- produce intriguing dynamics. Notably, collisions between a pair of bound states exhibit a dipole-like behavior. We anticipate that such bound states, along with their rich collision dynamics, are within reach of current experimental capabilities.