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

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.

arXiv comment7 pages, 4 figures

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• TRIQS/Nevanlinna: Implementation of the Nevanlinna Analytic Continuation method for noise-free data
• Spectral properties of heterostructures containing half-metallic ferromagnets in the presence of local many-body correlations
• Phase transition in binary compressed sensing based on $L_1$-norm minimization
• Broadening and sharpening of the Drude peak through antiferromagnetic fluctuations
• Autoencoder-based analytic continuation method for strongly correlated quantum systems