Skyrmion crystals in pseudo-spin-1/2 Bose–Einstein condensates

doi:10.1088/1674-1056/22/11/110308

Abstract Exact two-dimensional solutions are constructed for the pseudo-spin-1/2 Bose–Einstein condensates, which are described by the coupled nonlinear Gross–Pitaevskii equations where the intra-and inter-species coupling constants are assumed to be equal. The equations are decoupled by means of re-combinations of the nonlinear terms of the hyperfine states according to the spatial dimensions. The stationary solutions form various spin textures which are identified as skyrmion crystals. In a special case, a crystal of skyrmion–anti-skyrmion pairs is formed in the soliton limit.

Keywords: Gross–Pitaevskii equations exact solutions skyrmion crystals

Received: 25 March 2013
Revised: 14 June 2013
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)
	02.30.Ik	(Integrable systems)
	67.30.he	(Textures and vortices)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB821403) and the National Natural Science Foundation of China (Grant No.11175018).

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

Cite this article:

Zhang Cong (张聪), Guo Wen-An (郭文安), Feng Shi-Ping (冯世平), Yang Shi-Jie (杨师杰) Skyrmion crystals in pseudo-spin-1/2 Bose–Einstein condensates 2013 Chin. Phys. B 22 110308

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Skyrmion crystals in pseudo-spin-1/2 Bose–Einstein condensates

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