中国物理B ›› 2016, Vol. 25 ›› Issue (9): 90304-090304.doi: 10.1088/1674-1056/25/9/090304

• GENERAL • 上一篇    下一篇

The ground states and pseudospin textures of rotating two-component Bose-Einstein condensates trapped in harmonic plus quartic potential

Yan Liu(刘燕), Su-Ying Zhang(张素英)   

  1. Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • 收稿日期:2015-12-27 修回日期:2016-04-26 出版日期:2016-09-05 发布日期:2016-09-05
  • 通讯作者: Su-Ying Zhang E-mail:zhangsy@sxu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 91430109 and 11404198), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20111401110004), and the Natural Science Foundation of Shanxi Province, China (Grant No. 2014011005-3).

The ground states and pseudospin textures of rotating two-component Bose-Einstein condensates trapped in harmonic plus quartic potential

Yan Liu(刘燕), Su-Ying Zhang(张素英)   

  1. Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • Received:2015-12-27 Revised:2016-04-26 Online:2016-09-05 Published:2016-09-05
  • Contact: Su-Ying Zhang E-mail:zhangsy@sxu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 91430109 and 11404198), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20111401110004), and the Natural Science Foundation of Shanxi Province, China (Grant No. 2014011005-3).

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摘要： The ground states of two-component miscible Bose-Einstein condensates (BECs) confined in a rotating annular trap are obtained by using the Thomas-Fermi (TF) approximation method. The ground state density distribution of the condensates experiences a transition from a disc shape to an annulus shape either when the angular frequency increases and the width and the center height of the trap are fixed, or when the width and the center height of the trap increase and the angular frequency is fixed. Meantime the numerical solutions of the ground states of the trapped two-component miscible BECs with the same condition are obtained by using imaginary-time propagation method. They are in good agreement with the solutions obtained by the TF approximation method. The ground states of the trapped two-component immiscible BECs are also given by using the imaginary-time propagation method. Furthermore, by introducing a normalized complex-valued spinor, three kinds of pseudospin textures of the BECs, i.e., giant skyrmion, coaxial double-annulus skyrmion, and coaxial three-annulus skyrmion, are found.

关键词: Bose-Einstein condensate, pseudospin texture, skyrmion

Abstract: The ground states of two-component miscible Bose-Einstein condensates (BECs) confined in a rotating annular trap are obtained by using the Thomas-Fermi (TF) approximation method. The ground state density distribution of the condensates experiences a transition from a disc shape to an annulus shape either when the angular frequency increases and the width and the center height of the trap are fixed, or when the width and the center height of the trap increase and the angular frequency is fixed. Meantime the numerical solutions of the ground states of the trapped two-component miscible BECs with the same condition are obtained by using imaginary-time propagation method. They are in good agreement with the solutions obtained by the TF approximation method. The ground states of the trapped two-component immiscible BECs are also given by using the imaginary-time propagation method. Furthermore, by introducing a normalized complex-valued spinor, three kinds of pseudospin textures of the BECs, i.e., giant skyrmion, coaxial double-annulus skyrmion, and coaxial three-annulus skyrmion, are found.

Key words: Bose-Einstein condensate, pseudospin texture, skyrmion

中图分类号:  (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

  • 03.75.Lm
03.75.Mn (Multicomponent condensates; spinor condensates)