This review paper describes the basic concept and technical details of sparse modeling and
its applications to quantum many-body problems. Sparse modeling refers to methodologies …

Green's functions of fermions are described by matrix-valued Herglotz-Nevanlinna functions.
Since analytic continuation is fundamentally an ill-posed problem, the causal space …

Analytic continuation is a central step in the simulation of finite-temperature field theories in
which numerically obtained Matsubara data are continued to the real frequency axis for a …

We present the Python package ana_cont for the analytic continuation of fermionic and
bosonic many-body Green's functions by means of either the Padé approximants or the …

We present the TRIQS/Nevanlinna analytic continuation package, an efficient
implementation of the methods proposed by J. Fei et al.(2021)[53] and (2021)[55] …

Analytic continuation (AC) from the imaginary-time Green's function to the spectral function is
a crucial process for numerical studies of the dynamical properties of quantum many-body …

The anomalous self-energy plays an important role in the analysis of superconducting
states. Its spectral weight provides information on the pairing glue of superconductors, but it …

Traditional maximum entropy and sparsity-based algorithms for analytic continuation often
suffer from the ill-posed kernel matrix or demand tremendous computation time for …

Solving ill-posed problems is central to a variety of scientific investigations. We focus here
on the analytic continuation of imaginary-time data obtained from quantum Monte Carlo …

We present a new open-source program, DCore, that implements dynamical mean-field
theory (DMFT). DCore features a user-friendly interface based on text and HDF5 files. It …