Magnetic Soliton and Soliton Collisions of Spinor Bose-Einstein Condensates in an Optical Lattice

TL;DR

This paper analytically investigates magnetic soliton dynamics and collisions in spinor Bose-Einstein condensates within an optical lattice, demonstrating control over soliton oscillations via light-induced interactions.

Contribution

It derives a modified Landau-Lifshitz equation and provides exact soliton solutions, revealing controllable soliton oscillations and elastic collision behavior.

Findings

Soliton size oscillations can be controlled experimentally.

Exact magnetic soliton solutions are obtained.

Elastic collisions of solitons are demonstrated.

Abstract

We study the magnetic soliton dynamics of spinor Bose-Einstein condensates in an optical lattice which results in an effective Hamiltonian of anisotropic pseudospin chain. A modified Landau-Lifshitz equation is derived and exact magnetic soliton solutions are obtained analytically. Our results show that the time-oscillation of the soliton size can be controlled in practical experiment by adjusting of the light-induced dipole-dipole interaction. Moreover, the elastic collision of two solitons is investigated.