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arXiv · 1406.7056

Stable knots in the trapped Bose-Einstein condensates

Yong-Kai Liu·Shiping Feng·Shi-Jie Yang
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Abstract

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.

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Yong-Kai Liu, Shiping Feng, Shi-Jie Yang. 2014-06-27. Stable knots in the trapped Bose-Einstein condensates. https://doi.org/10.1209/0295-5075%2F106%2F50005

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