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arXiv 1107.3750cond-mat.quant-gas
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具有可调相互作用的冷原子玻色气体的分析极限

Analytical limits for cold atom Bose gases with tunable interactions

Bogdan Mihaila, Fred Cooper, John F. Dawson, Chih-Chun Chien, Eddy Timmermans

摘要:

本文利用与正常密度和反常密度有关的辅助场的非微扰形式,讨论了稀玻色气体的平衡性质。我们分析表明,在零温度下的弱相互作用粒子的稀玻色气体,领先的辅助场(LOAF)近似导致众所周知的分析结果。接近临界点的LOAF预测是相同的,在大N近似下使用有效场论。我们还报告了分析近似的LOAF结果的么正性限制,这与我们的数值结果相比,毫不逊色。LOAF预言玻色气体在幺正性极限下的状态方程是E /(p V)= 1,而不像费米气体在E /(p V)= 3/2的情况。

英文摘要:

We discuss the equilibrium properties of dilute Bose gases using a non-perturbative formalism based on auxiliary fields related to the normal and anomalous densities. We show analytically that for a dilute Bose gas of weakly-interacting particles at zero temperature, the leading-order auxiliary field (LOAF) approximation leads to well-known analytical results. Close to the critical point the LOAF predictions are the same as those obtained using an effective field theory in the large-N approximation. We also report analytical approximations for the LOAF results in the unitarity limit, which compare favorably with our numerical results. LOAF predicts that the equation of state for the Bose gas in the unitarity limit is E / (p V) = 1, unlike the case of the Fermi gas when E / (p V) = 3/2.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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