Dark Soliton Interaction of Spinor Bose-Einstein Condensates in an Optical Lattice

TL;DR

This paper analytically investigates magnetic dark soliton interactions in spinor Bose-Einstein condensates within an optical lattice, revealing controllable soliton properties and elastic collision behavior influenced by external magnetic fields.

Contribution

It derives an exact nonlinear Schrödinger equation for the system and provides analytical magnetic soliton solutions, highlighting the role of external fields in soliton creation and control.

Findings

Critical external field is necessary for soliton creation.

Soliton size, velocity, and shape can be tuned by magnetic field.

Elastic collision behavior of solitons is characterized.

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. An equation of nonlinear Schr\"odinger type is derived and exact magnetic soliton solutions are obtained analytically by means of Hirota method. Our results show that the critical external field is needed for creating the magnetic soliton in spinor Bose-Einstein condensates. The soliton size, velocity and shape frequency can be controlled in practical experiment by adjusting the magnetic field. Moreover, the elastic collision of two solitons is investigated in detail.