Excitation spectrum and structure factor of a two-component Bose-Einstein condensate in different hyperfine states

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 o...

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Bibliographic Details
Published in:Chinese physics B 2013-08, Vol.22 (8), p.290-297
Main Author: 韩玉峰 陈良 刘厚通 黄仙山
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Condensates
Depletion
Energy gap
Excitation
Green's functions
Mathematical analysis
Phonons
Structure factor
双组分
格林函数方法
激发光谱
爱因斯坦凝聚
状态
玻色
结构因素
超精细
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Summary: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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/8/080308