Analytical solutions to the spin-1 Bose-Einstein condensates

被引：12
|
作者：
Zhang, Zhi-Hai [1 ]
Zhang, Cong [1 ]
Yang, Shi-Jie [1 ]
Feng, Shiping [1 ]
机构：
[1] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China
来源：
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS | 2012年 / 45卷 / 21期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1088/0953-4075/45/21/215302
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We analytically solve the one-dimensional coupled Gross-Pitaevskii equations which govern the motion of the spinor- 1 Bose-Einstein condensates. The nonlinear density-density interactions are decoupled by making use of the unique properties of the Jacobian elliptical functions. Several types of time-invariant solutions are deduced. Furthermore, exact time-evolving solutions to the time-dependent Gross-Pitaevskii equations are constructed by making use of the spin-rotational symmetry of the Hamiltonian. The spin-polarizations exhibit kinked configurations.
引用
收藏
页数：8
相关论文
共 50 条
  • [31] Spin tunnelling dynamics for spin-1 Bose-Einstein condensates in a swept magnetic field
    Wang, Guan-Fang
    Fu, Li-Bin
    Liu, Jie
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2008, 20 (04)
  • [32] Spin-structures of the Bose-Einstein condensates with three kinds of spin-1 atoms
    He, Y. Z.
    Liu, Y. M.
    Bao, C. G.
    SCIENTIFIC REPORTS, 2020, 10 (01)
  • [33] Manipulating dipolar and spin-exchange interactions in spin-1 Bose-Einstein condensates
    Ning, Bo-Yuan
    Yi, S.
    Zhuang, Jun
    You, J. Q.
    Zhang, Wenxian
    PHYSICAL REVIEW A, 2012, 85 (05)
  • [34] Bessel vortices in spin-orbit-coupled spin-1 Bose-Einstein condensates
    Li, Jun -Zhu
    Luo, Huan-Bo
    Li, Lu
    PHYSICAL REVIEW A, 2022, 106 (06)
  • [35] Controlled creation of spin domains in spin-1 Bose-Einstein condensates by phase separation
    Swislocki, Tomasz
    Matuszewski, Michal
    PHYSICAL REVIEW A, 2012, 85 (02):
  • [36] Critical velocity of antiferromagnetic spin-1 Bose-Einstein condensates at finite temperature
    Szirmai, Gergely
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2013, 217 (01): : 189 - 195
  • [37] Critical velocity of antiferromagnetic spin-1 Bose-Einstein condensates at finite temperature
    Gergely Szirmai
    The European Physical Journal Special Topics, 2013, 217 : 189 - 195
  • [38] Efficient continuation methods for spin-1 Bose-Einstein condensates in a magnetic field
    Sriburadet, Sirilak
    Jeng, B. -W.
    Chien, C. -S.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 95 (05) : 898 - 919
  • [39] A numerical scheme for the ground state of rotating spin-1 Bose-Einstein condensates
    Sriburadet, Sirilak
    Shih, Yin-Tzer
    Jeng, B-W
    Hsueh, C-H
    Chien, C-S
    SCIENTIFIC REPORTS, 2021, 11 (01)
  • [40] Twist-and-store entanglement in bimodal and spin-1 Bose-Einstein condensates
    Niezgoda, Artur
    Witkowska, Emilia
    Mirkhalaf, Safoura Sadat
    PHYSICAL REVIEW A, 2020, 102 (05)
12345