Core structure of static ferrodark solitons in a spin-1 Bose-Einstein condensate

Abstract

We develop an analytical description of static ferrodark solitons, the ${\mathbb{Z}}_2$ topological defects in the magnetic order, in the easy-plane phase of ferromagnetic spin-1 Bose-Einstein condensates. We find that the type-I ferrodark soliton has a single width while the type-II ferrodark soliton exhibits two characteristic length scales. The proposed ansatzes show excellent agreement with numerical results. Spin-singlet amplitudes, nematic tensor densities and nematic currents of ferrodark solitons are also discussed. The ${\mathbb{Z}}_2$ topological defects in the mass superfluid order, dark-dark-dark vector solitons, are obtained exactly in the parameter regime where exact ferrodark solitons exist. The dark-dark-dark vector soliton has higher excitation energy than ferrodark solitons.

8 pages, 10 figures

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Cited by in corpus (4)

• Absence of the breakdown of ferrodark solitons exhibiting a snake instability
• Exotic Quantum States in Spin-1 Bose-Einstein Condensate with Spin-Orbit Coupling in Concentric Annular Traps
• Motion of ferrodark solitons in trapped superfluids: spin corrections and emergent oscillators
• Observation of sine-Gordon-like solitons in a spinor Bose-Einstein condensate