Neutral skyrmion configurations in the low-energy effective theory of spinor condensate ferromagnets

Abstract

We study the low-energy effective theory of spinor condensate ferromagnets for the superfluid velocity and magnetization degrees of freedom. This effective theory describes the competition between spin stiffness and a long-ranged interaction between skyrmions, topological objects familiar from the theory of ordinary ferromagnets. We find exact solutions to the non-linear equations of motion describing neutral configurations of skyrmions and anti-skyrmions. These analytical solutions provide a simple physical picture for the origin of crystalline magnetic order in spinor condensate ferromagnets with dipolar interactions. We also point out the connections to effective theories for quantum Hall ferromagnets.

13 pages, 7 figures

References in corpus (3)

• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• Long wavelength spin dynamics of ferromagnetic condensates
• Symmetry analysis of crystalline spin textures in dipolar spinor condensates

Cited by in corpus (6)

• Coarsening dynamics driven by vortex-antivortex annihilation in ferromagnetic Bose-Einstein condensates
• Dissipative hydrodynamic equation of a ferromagnetic Bose-Einstein condensate: Analogy to magnetization dynamics in conducting ferromagnets
• Multicomponent Skyrmion lattices and their excitations
• Skyrmion-antiSkyrmion pairs in Ultracold Atomic Gases
• Symmetry analysis of crystalline spin textures in dipolar spinor condensates
• Unvortex Lattice and Topological Defects in Rigidly Rotating Multicomponent Superfluids