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摘要翻译：
我们发展了一个配对平均场理论来描述分子玻色-爱因斯坦凝聚体解离成其组成的玻音或费米子原子的量子动力学。我们将该理论应用于一维、二维和三维几何结构，并分析了维数对原子产率随离解能的变化所起的作用。除了确定原子的布居数和相干性外，我们还计算了具有相反动量的原子之间的关联，包括三维系统中的列密度关联。我们将结果与未耗尽分子场近似的结果进行了比较，认为后者在费米子系统和更低维的情况下是最可靠的。在bosonic情况下，我们将配对平均场的结果与正P$随机方法的精确计算进行了比较，并估计了配对平均场理论的有效性范围。然而，我们认为，在泡利阻塞阻止分子凝聚完全耗尽的情况下，本方法对费米子的有效性范围应该比对玻色子的有效性范围更广。
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英文标题：
《Pairing mean-field theory for the dynamics of dissociation of molecular
Bose-Einstein condensates》
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作者：
M. J. Davis, S. J. Thwaite, M. K. Olsen, and K. V. Kheruntsyan
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Other Condensed Matter 其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We develop a pairing mean-field theory to describe the quantum dynamics of the dissociation of molecular Bose-Einstein condensates into their constituent bosonic or fermionic atoms. We apply the theory to one, two, and three-dimensional geometries and analyze the role of dimensionality on the atom production rate as a function of the dissociation energy. As well as determining the populations and coherences of the atoms, we calculate the correlations that exist between atoms of opposite momenta, including the column density correlations in 3D systems. We compare the results with those of the undepleted molecular field approximation and argue that the latter is most reliable in fermionic systems and in lower dimensions. In the bosonic case we compare the pairing mean-field results with exact calculations using the positive-$P$ stochastic method and estimate the range of validity of the pairing mean-field theory. Comparisons with similar first-principle simulations in the fermionic case are currently not available, however, we argue that the range of validity of the present approach should be broader for fermions than for bosons in the regime where Pauli blocking prevents complete depletion of the molecular condensate.
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PDF链接：
https://arxiv.org/pdf/710.4257
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