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摘要翻译：
研究了有限尺寸弱相互作用玻色气体在临界温度范围内的凝聚原子数的涨落。对于较小的系统，用递归方法计算规范配分函数，对于较大的样本，用鞍点近似方法计算规范配分函数，这样可以处理包含105$粒子的实际尺寸系统。指出了粒子数约束和凝聚原子间相互作用对临界区附近统计的重要性。对于足够大的系统，观测到涨落从反常标度到正常标度的交叉。在Bogoliubov-Popov近似下用自洽的方式描述激发，用Hartree-Fock方法描述热原子间的相互作用。
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英文标题：
《Fluctuations of a weakly interacting Bose-Einstein condensate》
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作者：
Z. Idziaszek, L. Zawitkowski, M. Gajda, K. Rzazewski
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最新提交年份：
2008
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分类信息：
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：
Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a recursive scheme for smaller systems, and a saddle-point approximation for larger samples, that allows to treat realistic size systems containing up to $N \sim 10^5$ particles. We point out the importance of particle-number constrain and interactions between out of condensate atoms for the statistics near the critical region. For sufficiently large systems the crossover from the anomalous to normal scaling of the fluctuations is observed. The excitations are described in a self-consistent way within the Bogoliubov-Popov approximation, and the interactions between thermal atoms are described by means of the Hartree-Fock method.
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PDF链接：
https://arxiv.org/pdf/708.0092
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