Motivated by the current high interest in the field of warm dense matter research, in this
article we review the uniform electron gas (UEG) at finite temperature and over a broad …

Simulations of finite temperature quantum systems provide imaginary frequency Green's
functions that correspond one to one to experimentally measurable real-frequency spectral …

Finite-temperature quantum field theories are formulated in terms of Green's functions and
self-energies on the Matsubara axis. In multiorbital systems, these quantities are related to …

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 …

Efficient ab initio calculations of correlated materials at finite temperatures require compact
representations of the Green's functions both in imaginary time and in Matsubara frequency …

Low-order scaling GW implementations for molecules are usually restricted to
approximations with diagonal self-energy. Here, we present an all-electron implementation …

Inverse problems are encountered in many domains of physics, with analytic continuation of
the imaginary Green's function into the real frequency domain being a particularly important …

A data-science approach to solving the ill-conditioned inverse problem for analytical
continuation is proposed. The root of the problem lies in the fact that even tiny noise of …

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 …