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摘要翻译：
本文给出了费米硬棒(HR)系统的单体密度矩阵和动量分布的变分Monte Carlo计算，并与bosonic硬棒系统的相同量进行了比较。由于我们对精确的基态波函数进行了采样，其解析表达式是已知的，所以计算在统计误差范围内是准确的。数值结果与已知的Luttinger液体渐近展开式一致。我们发现，随着密度的增加，波子密度矩阵和费子密度矩阵绝对值之间的差值变得很小。在同样的情况下，相应的动量分布合并成一个独立于统计量的公共剖面。对单体密度矩阵的非解析贡献也进行了讨论，发现随着密度的增加，非解析贡献的相关性较小。
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英文标题：
《Off-diagonal Ground State Properties of a 1D Gas of Fermi Hard Rods》
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作者：
F.Mazzanti, G.E.Astrakharchik, J.Boronat, J.Casulleras
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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：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：
A variational Monte Carlo calculation of the one-body density matrix and momentum distribution of a system of Fermi hard rods (HR) is presented and compared with the same quantities for its bosonic counterpart. The calculation is exact within statistical errors since we sample the exact ground state wave function, whose analytical expression is known. The numerical results are in good agreement with known asymptotic expansions valid for Luttinger liquids. We find that the difference between the absolute value of the bosonic and fermionic density matrices becomes marginally small as the density increases. In this same regime, the corresponding momentum distributions merge into a common profile that is independent of the statistics. Non-analytical contributions to the one--body density matrix are also discussed and found to be less relevant with increasing density.
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PDF链接：
https://arxiv.org/pdf/712.3593
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