3D skyrmion and knot in two-component Bose–Einstein condensates

Y.M. Cho

Yong-Kai Liu, Shi-Jie Yang

Yong-Kai Liu, Guo-Hui Yang, Liang-Liang Xu +1 more

Yong-Kai Liu, Shi-Jie Yang

We investigate a kind of solitons in the two-component Bose-Einstein condensates with axisymmetric configurations in the R-2 x S-1 space. The corresponding topological structure is referred to as Hopfion. The spin texture differs from the conventional three-dimensional (3D) skyrmion and knot, which is characterized by two homotopy invariants. The stability of the Hopfion is verified numerically by evolving the Gross-Pitaevskii equations in imaginary time.

刘永恺, 杨师杰

We investigate a kind of solitons in the two-component Bose–Einstein condensates with axisymmetric configurations in the R2×S1space. The corresponding topological structure is referred to as Hopfion. The spin texture differs from the conventional three-dimensional(3D) skyrmion and knot, which is characterized by two homotopy invariants. The stability of the Hopfion is verified numerically by evolving the Gross–Pitaevskii equations in imaginary time.

Yong-Kai Liu, Shi-Jie Yang, Guo-Hui Yang +1 more