Half-knot in the spinor condensates

Abstract

We present an exact solution to the stationary coupled nonlinear Gross-Pitaevskii equations which govern the motion of the spinor Bose-Einstein condensates. The solitonic solution is a twisted half-skyrmion in the three-dimension (3D) space. By making a map from and the Cartesian coordinates to the toroidal coordinates, we demonstrate it is a linked half-unknot with a fractional Hopf charge.

6 figures

References in corpus (6)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Observation of Topologically Stable 2D Skyrmions in an Antiferromagnetic Spinor Bose-Einstein Condensate
• Crystallized merons and inverted merons in the condensation of spin-1 Bose gases with spin-orbit coupling
• Giant vortex and Skyrmion in a rotating two-species Bose-Einstein condensate
• Topological Excitations in Spinor Bose-Einstein Condensates
• Unwinding in Hopfion vortex bunches

Cited by in corpus (3)

• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• Linked and knotted synthetic magnetic fields
• Stable knots in the trapped Bose-Einstein condensates