Decomposition of the <EM>SU</EM>(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate

LI Xi-Guo; JIA Duo-Jie; GAO Yuan

Chinese Physics C> 2003, Vol. 27> Issue(1) : 12-14

Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate

Research Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Collisions,Lanzhou 730000,China2 Institute of Modern Physics,The Chinese Academy of Sciences,Lanzhou 730000,China3 Institute of Theoretical Physics,Lanzhou University, Lanzhou 730000,China

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Abstract：
Using decomposition of the SU(2) gauge field in terms of unit vector field, we have discussed circulation condition of the spin-1/2 Bose-Einstein dendensate. For the two-component Bose-Einstein condensate,the SU/(2) symmetry of the internal states leads to a generalization of Mermin-Ho relation as a topological constrain of the superfluid velocity.

References

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Faddeev L, Niemi A. Nature, 1997, 387: 58; Battye R, Sutcliffe P.Phys. Rev. Lett.,1998,81:47982 Faddeev L,Niemi A. Phys. Rev. Lett.,1999,82:16243 Bee W S, Cho Y M, Kimm S W. hep-th/01051634 LI Xi-Guo. General Decomposition Theory of Gauge Potential Gauss-Bonnet-Chern Theorem and Inner Structure of Torsion, Doctoral Disser-tation,Lanzhou University,19945 LI Xi-Guo, DUAN Yi-Shi, SONG Jian-Jun. High Energy Phys. and Nucl. Phys.,2001,25:296 (in Chinese)(李希国, 段一士, 宋建军.高能物理与核物理, 2001,25:296)6 DUAN Yi-Shi,LI Xi-Guo. Hilv. Phys. Acta,1995,68:5137 YANG G H. General Relativity and Gravitation,2001,33:10278 LI Xi-Guo. Rev. Nucl. Phys.,2000,17(4):2019 DUAN Yi-Shi,JIA Duo-Jie. Chin. Phys. Lett.,2001,18(4):47310 Mathews M R,Andexson et al. Phys. Rev. Lett., 1999 , 83 : 2498 ; Kha-waja U A , Stoof H . Nature (London) , 2001, 411: 91811 Mermin M R, Ho T L. Phys. Rev. Lett., 1976,36:59412 JIA Duo-Je, DUAN Yi-Shi, LE Xi-Guo. Phys. Lett., 2001, A289:245-250

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LI Xi-Guo, JIA Duo-Jie and GAO Yuan. Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate[J]. Chinese Physics C, 2003, 27(1): 12-14.

LI Xi-Guo, JIA Duo-Jie and GAO Yuan. Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate[J]. Chinese Physics C, 2003, 27(1): 12-14. shu

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Received: 2002-03-19
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate

Corresponding author: LI Xi-Guo,

Research Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Collisions,Lanzhou 730000,China2 Institute of Modern Physics,The Chinese Academy of Sciences,Lanzhou 730000,China3 Institute of Theoretical Physics,Lanzhou University, Lanzhou 730000,China

Received Date: 2002-03-19
Accepted Date: 1900-01-01
Available Online: 2003-01-05

Abstract: Using decomposition of the SU(2) gauge field in terms of unit vector field, we have discussed circulation condition of the spin-1/2 Bose-Einstein dendensate. For the two-component Bose-Einstein condensate,the SU/(2) symmetry of the internal states leads to a generalization of Mermin-Ho relation as a topological constrain of the superfluid velocity.