Renyi entropy of the interacting Fermi liquid
Renyi entropy of the interacting Fermi liquid
复制标题
相互作用的费米液体的 Renyi 熵
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
N. Tubman
中科院分区：
文献类型：
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作者：
J. Mcminis;N. Tubman
纠缠特性，包括Renyi $\ensuremath{\alpha}$熵和标度定律，在凝聚态物理学中变得越来越重要，因为它们可以用来确定物理特性和量子相的“指纹”。在这项工作中，我们使用变分量子蒙特卡罗计算了凝聚态物质中最重要的相之一，相互作用的费米液体的Renyi $\ensuremath{\alpha}$熵，它们的尺度定律，以及不同$\ensuremath{\alpha}$熵之间的关系。我们还研究了尺度定律与费米表面动量分布的不连续之间的关系。与最近的理论预测相反，我们发现相互作用增加了所有粒子相互作用强度和形式的$\ensuremath{\alpha}$-熵尺度定律的前因子。我们还表明，通过扩展自由理论来包含动量分布的性质，可以发展出相互作用系统的这些标度定律的理论。
Entanglement properties, including the Renyi $\ensuremath{\alpha}$ entropies and scaling laws, are becoming increasingly important in condensed-matter physics because they can be used to determine physical properties and the ``fingerprint'' of quantum phases. In this work we use variational quantum Monte Carlo to compute the Renyi $\ensuremath{\alpha}$ entropies, their scaling laws, and the relationship between different $\ensuremath{\alpha}$ entropies for one of the most important phases in condensed matter, the interacting Fermi liquid. We also investigate the relationship between the scaling laws and the discontinuity in the momentum distribution at the Fermi surface. Contrary to recent theoretical predictions, we find that interactions increase the prefactor for the $\ensuremath{\alpha}$-entropy scaling laws for all particle interaction strengths and forms. We also show that a theory of these scaling laws for the interacting systems may be developed by extending the free theory to incorporate properties of the momentum distribution.