Stable knots in the trapped Bose-Einstein condensates
Quantum Gases
2015-06-22 v1
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.
Keywords
Cite
@article{arxiv.1406.7056,
title = {Stable knots in the trapped Bose-Einstein condensates},
author = {Yong-Kai Liu and Shiping Feng and Shi-Jie Yang},
journal= {arXiv preprint arXiv:1406.7056},
year = {2015}
}
Comments
4 pages, 5 figures