原子-分子系统的有效场论II：定态解和Bogoliubov激发
Effective Field Theory for Atom-Molecule Systems II: Stationary Solutions and Bogoliubov Excitations in Atom-Molecule Systems
摘要：
我们建立了研究接近于费什巴赫共振的原子的玻色-爱因斯坦凝聚的基本理论方法，其中原子的可调散射长度用原子-分子耦合场系统来描述.其中包括凝聚体轮廓，c-场方程，和Bogoliubov-de Gennes方程，和Bogoliubov激发光谱的均匀凝聚系统的Bogoliubov费米描述。我们应用这种形式主义的布拉格散射的特殊情况下，从一个均匀的凝聚体，并发现，对于中等和大的散射长度，有一个显着的差异，在布拉格光谱的峰值的移动，相比，基于无结构的原子模型。这一结果与Papp等[S. B. Papp等人，物理学评论快报，101（13）：135301，2008年9月]。
英文摘要：
We formulate the basic theoretical methods for Bose-Einstein Condensation of atoms close to a Feshbach resonance, in which the tunable scattering length of the atoms is described using a system of coupled atom and molecule fields. These include the Thomas-Fermi description of the condensate profile, the c-field equations, and the Bogoliubov-de Gennes equations, and the Bogoliubov excitation spectrum for a homogenous condensed system. We apply this formalism to the special case of Bragg scattering from a uniform condensate, and find that for moderate and large scattering lengths, there is a dramatic difference in the shift of the peak of the Bragg spectra, compared to that based on a structureless atom model. The result is compatible with the experimental results of Papp et al. [S. B. Papp et al., Phys. Rev. Lett., 101(13):135301, Sep 2008].
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