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Excitation spectrum and structure factor of a two-component Bose-Einstein condensate in different hyperfine states |
| Han Yu-Feng (韩玉峰)a, Chen Liang (陈良)b, Liu Hou-Tong (刘厚通)a, Huang Xian-Shan (黄仙山)a |
a Department of Mathematics and Physics, Anhui University of Technology, Ma'anshan 243032, China;
b Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China |
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Abstract The elementary excitation spectrum of a two-component Bose-Einstein condensate in different hyperfine states is obtained by Green's function method. It is found to have two branches. In the long wave-length limit, the two branches of the excitation spectrum are reduced to one phonon excitation and one single-particle excitation. The single-particle one has an energy gap. When the energy gap exists, we study the Landau critical velocity and the depletion of the condensate. With the obtained Green's functions, we calculate the structure factor of a two-component condensate. It is found that the static structure factor comprises only the branch of the phonon excitation and the single-particle excitation makes no contribution to the structure factor.
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Received: 26 September 2012
Revised: 22 January 2013
Accepted manuscript online:
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PACS:
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10974189, 10675114, 10675115, and 41075027) and the Natural Science College Key Projects of Anhui Province, China (Grant No. KJ2011A040). |
Corresponding Authors:
Han Yu-Feng
E-mail: hipeak@ahut.edu.cn
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Cite this article:
Han Yu-Feng (韩玉峰), Chen Liang (陈良), Liu Hou-Tong (刘厚通), Huang Xian-Shan (黄仙山) Excitation spectrum and structure factor of a two-component Bose-Einstein condensate in different hyperfine states 2013 Chin. Phys. B 22 080308
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