2014/06/01 by Yong-Kai Liu, Shiping Feng, Shi-Jie Yang
Physics and Astronomy · #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Invariant (physics) #Knot (papermaking) #Mathematical physics #Nonlinear system #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Rotational symmetry #Strong Light-Matter Interactions #cond-mat.quant-gas
paper · pdf · doi:10.1209/0295-5075/106/50005
published as EPL 106 50005(2014) · 4 pages, 5 figures
openalex publication_date 2014/06/01 · arxiv created 2014/06/27 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The knot of spin texture is studied within the two-component Bose-Einstein condensates which are described by the nonlinear Gross-Pitaevskii equations. We start from the non-interacting equations including an axisymmetric harmonic trap to obtain an exact solution, which exhibits a non-trivial topological structure. The spin-texture is a knot with an integral Hopf invariant. The stability of the knot is verified by numerically evolving the nonlinear Gross-Pitaevskii equations along imaginary time.