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

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《中国物理C》（英文）编辑部

2024年10月30日

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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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.