Three-dimensional solitons in two-component Bose-Einstein condensates

doi:10.1088/1674-1056/23/11/110308

Abstract

We investigate a kind of solitons in the two-component Bose-Einstein condensates with axisymmetric configurations in the R²× S¹ 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.

Keywords: two-component Bose-Einstein condensates three-dimensional (3D) soliton coupled Gross-Pitaevskii equations Hopfion

Received: 25 April 2014
Revised: 27 June 2014
Accepted manuscript online:

PACS:	03.75.Mn	(Multicomponent condensates; spinor condensates)
	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	67.85.Fg	(Multicomponent condensates; spinor condensates)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11374036) and the National Basic Research Program of China (Grant No. 2012CB821403).

Corresponding Authors: Yang Shi-Jie
E-mail: yangshijie@tsinghua.org.cn

Cite this article:

Liu Yong-Kai (刘永恺), Yang Shi-Jie (杨师杰) Three-dimensional solitons in two-component Bose-Einstein condensates 2014 Chin. Phys. B 23 110308

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