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

Kazuyoshi Yoshimi, Junya Otsuki, Yuichi Motoyama, Masayuki Ohzeki, Hiroshi Shinaoka

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - Apr 5 2019


  • Analytic continuation
  • Imaginary-time/Matsubara Green’s function
  • Sparse modeling

ASJC Scopus subject areas

  • General

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