大散射场下冷玻色原子的基态性质
Ground State Properties of Cold Bosonic Atoms At Large Scattering Lengths
摘要：
在这封信中，我们研究玻色原子在大的散射长度使用变分方法，其中凝聚振幅是一个变分参数。我们进一步研究了冷玻色子原子的动量分布函数、化学势和声速，以及在此极限下的空间密度分布。后两种性质与费米气体的性质有相似之处。这里得到的估计是适用于附近的费什巴赫共振，特别是当形成三体结构的原子的分数是小的，可以在未来的冷原子实验进行测试。
英文摘要：
In this letter, we study bosonic atoms at large scattering lengths using a variational method where the condensation amplitude is a variational parameter. We further examine momentum distribution functions, chemical potentials and speed of sound, and spatial density profiles of cold bosonic atoms in a trap in this limit. The later two properties turn out to bear similarities of those of Fermi gases. Estimates obtained here are applicable near Feshbach resonances, particularly when the fraction of atoms forming three-body structures is small and can be tested in future cold atom experiments.
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