Stable knots in the trapped Bose-Einstein condensates
| Autor: | Liu, Yong-Kai, Feng, Shiping, Yang, Shi-Jie |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | EPL 106 50005(2014) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1209/0295-5075/106/50005 |
| Popis: | 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. Comment: 4 pages, 5 figures |
| Databáze: | arXiv |
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