English

SpM: Sparse modeling tool for analytic continuation of imaginary-time Green's function

Strongly Correlated Electrons 2019-10-02 v1 Computational Physics

Abstract

We present SpM, a sparse modeling tool for the analytic continuation of imaginary-time Green's function, licensed under GNU General Public License version 3. In quantum Monte Carlo simulation, dynamic physical quantities such as single-particle and magnetic excitation spectra can be obtained by applying analytic continuation to imaginary-time data. However, analytic continuation is an ill-conditioned inverse problem and thus sensitive to noise and statistical errors. SpM provides stable analytic continuation against noise by means of a modern regularization technique, which automatically selects bases that contain relevant information unaffected by noise. This paper details the use of this program and shows some applications.

Keywords

Cite

@article{arxiv.1904.02903,
  title  = {SpM: Sparse modeling tool for analytic continuation of imaginary-time Green's function},
  author = {Kazuyoshi Yoshimi and Junya Otsuki and Yuichi Motoyama and Masayuki Ohzeki and Hiroshi Shinaoka},
  journal= {arXiv preprint arXiv:1904.02903},
  year   = {2019}
}

Comments

7 pages, 4 figures

R2 v1 2026-06-23T08:30:05.430Z