MatsubaraFunctions.jl: An equilibrium Green's function library in the Julia programming language
Abstract
The Matsubara Green's function formalism stands as a powerful technique for computing the thermodynamic characteristics of interacting quantum many-particle systems at finite temperatures. In this manuscript, our focus centers on introducing MatsubaraFunctions.jl, a Julia library that implements data structures for generalized n-point Green's functions on Matsubara frequency grids. The package's architecture prioritizes user-friendliness without compromising the development of efficient solvers for quantum field theories in equilibrium. Following a comprehensive introduction of the fundamental types, we delve into a thorough examination of key facets of the interface. This encompasses avenues for accessing Green's functions, techniques for extrapolation and interpolation, as well as the incorporation of symmetries and a variety of parallelization strategies. Examples of increasing complexity serve to demonstrate the practical utility of the library, supplemented by discussions on strategies for sidestepping impediments to optimal performance.
Keywords
Cite
@article{arxiv.2309.12511,
title = {MatsubaraFunctions.jl: An equilibrium Green's function library in the Julia programming language},
author = {Dominik Kiese and Anxiang Ge and Nepomuk Ritz and Jan von Delft and Nils Wentzell},
journal= {arXiv preprint arXiv:2309.12511},
year = {2024}
}
Comments
revised version, 37 pages, 10 figures