Magnetic Solitons in a Binary Bose-Einstein Condensate

TL;DR

This paper analyzes magnetic solitons in a two-component Bose-Einstein condensate, providing analytical solutions and exploring their properties, dynamics, and stability under experimental conditions.

Contribution

It presents an analytical solution for magnetic solitons in a binary Bose gas with unequal interactions, linking soliton characteristics to fundamental spin properties.

Findings

Derived explicit relations between soliton width, velocity, and spin healing length.

Calculated soliton profiles, energy, and effective mass.

Analyzed soliton oscillations in a harmonic trap and discussed stability conditions.

Abstract

We study solitary waves of polarization (magnetic solitons) in a two-component Bose gas with slightly unequal repulsive intra- and interspin interactions. In experimentally relevant conditions we obtain an analytical solution which reveals that the width and the velocity of magnetic solitons are explicitly related to the spin healing length and the spin sound velocity of the Bose mixture, respectively. We calculate the profiles, the energy and the effective mass of the solitons in the absence of external fields and investigate their oscillation in a harmonic trap where the oscillation period is calculated as a function of the oscillation amplitude. The stability of magnetic solitons in two dimensions and the conditions for their experimental observation are also briefly discussed.