sparse-ir: optimal compression and sparse sampling of many-body propagators
Abstract
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 leverage two concepts: firstly, the intermediate representation (IR), an optimal compression of the propagator with robust a-priori error estimates, and secondly, sparse sampling, near-optimal grids in imaginary time and imaginary frequency from which the propagator can be reconstructed and on which diagrammatic equations can be solved. IR and sparse sampling are packaged into stand-alone, easy-to-use Python, Julia and Fortran libraries, which can readily be included into existing software. We also include an extensive set of sample codes showcasing the library for typical many-body and ab initio methods.
Cite
@article{arxiv.2206.11762,
title = {sparse-ir: optimal compression and sparse sampling of many-body propagators},
author = {Markus Wallerberger and Samuel Badr and Shintaro Hoshino and Fumiya Kakizawa and Takashi Koretsune and Yuki Nagai and Kosuke Nogaki and Takuya Nomoto and Hitoshi Mori and Junya Otsuki and Soshun Ozaki and Rihito Sakurai and Constanze Vogel and Niklas Witt and Kazuyoshi Yoshimi and Hiroshi Shinaoka},
journal= {arXiv preprint arXiv:2206.11762},
year = {2022}
}
Comments
8 pages, 4 figures