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

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

中国物理B ›› 2013, Vol. 22 ›› Issue (11): 110308-110308.doi: 10.1088/1674-1056/22/11/110308

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

张聪^a, 郭文安^{a b}, 冯世平^a, 杨师杰^{a b}

a Department of Physics, Beijing Normal University, Beijing 100875, China;
b State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2013-03-25 修回日期:2013-06-14 出版日期:2013-09-28 发布日期:2013-09-28
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2012CB821403) and the National Natural Science Foundation of China (Grant No.11175018).

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

Zhang Cong (张聪)^a, Guo Wen-An (郭文安)^{a b}, Feng Shi-Ping (冯世平)^a, Yang Shi-Jie (杨师杰)^{a b}

a Department of Physics, Beijing Normal University, Beijing 100875, China;
b State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

Received:2013-03-25 Revised:2013-06-14 Online:2013-09-28 Published:2013-09-28
Contact: Yang Shi-Jie E-mail:yangshijie@tsinghua.org.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2012CB821403) and the National Natural Science Foundation of China (Grant No.11175018).

摘要/Abstract

摘要： 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.

关键词: Gross–Pitaevskii equations, exact solutions, skyrmion crystals

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.

Key words: Gross–Pitaevskii equations, exact solutions, skyrmion crystals

中图分类号: (Multicomponent condensates; spinor condensates)

03.75.Mn

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)

张聪, 郭文安, 冯世平, 杨师杰. Skyrmion crystals in pseudo-spin-1/2 Bose–Einstein condensates[J]. 中国物理B, 2013, 22(11): 110308-110308.

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[J]. Chin. Phys. B, 2013, 22(11): 110308-110308.

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

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

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