Domain-wall solutions of spinor Bose-Einstein condensates in an optical lattice

TL;DR

This paper analyzes static and dynamic domain wall solutions in spinor Bose-Einstein condensates within optical lattices, highlighting the roles of magnetic and dipolar interactions in domain wall behavior and motion.

Contribution

It provides analytical constructions of single and double domain wall solutions and explores how interactions influence their formation and dynamics.

Findings

Magnetic and dipolar interactions significantly affect domain wall formation.

Interactions can control domain wall width and velocity.

Domain walls can be driven by interactions similar to external fields or currents.

Abstract

We studied the static and dynamic domain wall solutions of spinor Bose-Einstein condensates trapped in an optical lattice. The single and double domain wall solutions are constructed analytically. Our results show that the magnetic field and light-induced dipolar interactions play an important role for both the formation of different domain walls and the adjusting of domain wall width and velocity. Moreover, these interactions can drive the motion of domain wall of Bose ferromagnet systems similar to that driven by the external magnetic field or the spin-polarized current in fermion ferromagnet.