Half-knot in the spinor condensates
Quantum Gases
2015-06-15 v2
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.
Keywords
Cite
@article{arxiv.1302.2445,
title = {Half-knot in the spinor condensates},
author = {Yong-Kai Liu and Shi-Jie Yang},
journal= {arXiv preprint arXiv:1302.2445},
year = {2015}
}
Comments
6 figures