# Rabi-coupling driven motion of a soliton in a Bose-Einstein condensate

## TL;DR

This paper investigates how a synthetic Rabi field influences the motion of a self-attractive Bose-Einstein condensate with pseudo-spin 1/2, revealing how spin dynamics induce density redistribution and net forces leading to condensate displacement.

## Contribution

It introduces the study of Rabi-driven pseudo-spin dynamics causing density redistribution and motion in a Bose-Einstein condensate within a random potential, highlighting a novel mechanism for condensate control.

## Key findings

- Rabi coupling induces density redistribution between spin components.
- Pseudo-spin dynamics generate a net force on the condensate.
- External potentials lead to controlled displacement of the condensate.

## Abstract

We study the motion of a self-attractive Bose-Einstein condensate with pseudo-spin 1/2 driven by a synthetic Rabi (Zeeman-like) field. This field triggers the pseudo-spin dynamics resulting in a density redistribution between its components and, as a consequence, in changes of the overall density distribution. In the presence of an additional external potential, the latter produces a net force acting on the condensate and activates its displacement. As an example, here we consider the case of a one-dimensional condensate in a random potential.