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

Published: 30 July 2019| Version 1 | DOI: 10.17632/ycmpsnv5yx.1
Kazuyoshi Yoshimi,
Junya Otsuki,
Yuichi Motoyama,
Masayuki Ohzeki,
Hiroshi Shinaoka


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.



Computational Physics, Analytic Continuation