论文标题
特征值延续方法的基本限制
Fundamental limitations of the eigenvalue continuation approach
论文作者
论文摘要
在这项工作中，我们表明特征值延续方法最近在[Phys。莱特牧师。 {\ bf 121}，032501（2018），尽管它具有许多优势，但在考虑了强烈关联的多体系统时，其基本限制无法克服。作为一个有效的示例，一个非常简单的系统的几个限制在谐波陷阱中的费米子颗粒的系统，我们表明特征向量延续无法超出采样状态的准确性。我们在一个非常简单的三级模型中支持这种观察，该模型直接捕获了这一障碍。由于在特征值延续方法中不能自兼而有地确定提到的不准确性，因此需要其他互补方法的支持。
In this work, we show that the eigenvalue continuation approach introduced recently in [Phys. Rev. Lett. {\bf 121}, 032501 (2018)], despite its many advantages, has some fundamental limitations which cannot be overcome when strongly correlated many-body systems are considered. Taking as a working example a very simple system of several fermionic particles confined in a harmonic trap we show that the eigenvector continuation is not able to go beyond the accuracy of the sampling states. We support this observation within a very simple three-level model capturing directly this obstacle. Since mentioned inaccuracy cannot be determined self-consistently within the eigenvalue continuation approach, support from other complementary methods is needed.
