Multicomponent Bright Solitons in F = 2 Spinor Bose-Einstein Condensates

TL;DR

This paper investigates multicomponent bright soliton solutions in one-dimensional F=2 spinor Bose-Einstein condensates, revealing various single-peak and twin-peak solitons across different magnetic states using analytical methods.

Contribution

It introduces new soliton solutions for F=2 spinor BECs by extending Hirota's method and analyzing single-mode amplitudes, expanding understanding of multi-component solitons.

Findings

Single-peak solitons in ferromagnetic, polar, and cyclic states

Twin-peak solitons in ferromagnetic and polar states

Analytical methods for multi-component soliton solutions

Abstract

We study soliton solutions for the Gross--Pitaevskii equation of the spinor Bose--Einstein condensates with hyperfine spin F=2 in one-dimension. Analyses are made in two ways: by assuming single-mode amplitudes and by generalizing Hirota's direct method for multi-components. We obtain one-solitons of single-peak type in the ferromagnetic, polar and cyclic states, respectively. Moreover, twin-peak type solitons both in the ferromagnetic and the polar state are found.