The correlation functions of quantum systems—central objects in quantum field theories—
are defined in high-dimensional space-time domains. Their numerical treatment thus suffers …

Finding a material that turns superconducting under ambient conditions has been the goal of
over a century of research, and recently Pb $ _ {10-x} $ Cu $ _x $(PO $ _4 $) $ _6 $ O aka …

We present an efficient basis for imaginary time Green's functions based on a low-rank
decomposition of the spectral Lehmann representation. The basis functions are simply a set …

Quantitative descriptions of strongly correlated materials pose a considerable challenge in
condensed matter physics and chemistry. A promising approach to address this problem is …

We present a deterministic algorithm for the efficient evaluation of imaginary-time diagrams
based on the recently introduced discrete Lehmann representation (DLR) of imaginary-time …

In this study, we combine the ab initio Migdal-Eliashberg approach with the intermediate
representation of the Green's function, enabling accurate and efficient calculations of the …

For molecules and solids containing heavy elements, accurate electronic-structure
calculations require accounting not only for electronic correlations but also for relativistic …

The Bethe-Salpeter equation plays a crucial role in understanding the physics of correlated
fermions, relating to optical excitations in solids as well as resonances in high-energy …

We introduce sparse-ir, a collection of libraries to efficiently handle imaginary-time
propagators, a central object in finite-temperature quantum many-body calculations. We …

By merging algorithmic Matsubara integration with discrete pole representations we present
a procedure to generate fully analytic closed form results for impurity problems at fixed …