期刊
PHYSICAL REVIEW A
卷 82, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.82.043623
关键词
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资金
- Ministry of Education of Singapore [R-146-000-120-112]
- National Science Foundation of China (NSFC) [10801029, 10911120384]
- FANEDD, Shanghai [10QA1400300]
- SGST [09DZ2272900]
- SRF
We derive rigorous one- and two-dimensional mean-field equations for cigar-and pancake-shaped dipolar Bose-Einstein condensates with arbitrary polarization angle. We show how the dipolar interaction modifies the contact interaction of the strongly confined atoms. In addition, our equations introduce a nonlocal potential, which is anisotropic for pancake-shaped condensates. We propose to observe this anisotropy via measurement of the condensate aspect ratio. We also derive analytically approximate density profiles from our equations. Both the numerical solutions of our reduced mean-field equations and the analytical density profiles agree well with numerical solutions of the full Gross-Pitaevskii equation while being more efficient to compute.
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