Fundamental limitations of the eigenvalue continuation approach
Abstract
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.
Cite
@article{arxiv.2202.07493,
title = {Fundamental limitations of the eigenvalue continuation approach},
author = {Tomasz Sowiński and Miguel A. Garcia-March},
journal= {arXiv preprint arXiv:2202.07493},
year = {2022}
}
Comments
Authors' version accepted for publication