cppdlr: Imaginary time calculations using the discrete Lehmann representation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916349024927744 |
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| author | Kaye, Jason Strand, Hugo U. R. Wentzell, Nils |
| author_facet | Kaye, Jason Strand, Hugo U. R. Wentzell, Nils |
| contents | We introduce cppdlr, a C++ library implementing the discrete Lehmann representation (DLR) of functions in imaginary time and Matsubara frequency, such as Green's functions and self-energies. The DLR is based on a low-rank approximation of the analytic continuation kernel, and yields a compact and explicit basis consisting of exponentials in imaginary time and simple poles in Matsubara frequency. cppdlr constructs the DLR basis and associated interpolation grids, and implements standard operations. It provides a flexible yet high-level interface, facilitating the incorporation of the DLR into both small-scale applications and existing large-scale software projects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02334 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | cppdlr: Imaginary time calculations using the discrete Lehmann representation Kaye, Jason Strand, Hugo U. R. Wentzell, Nils Computational Physics Strongly Correlated Electrons Numerical Analysis 81-04, 65D15 G.4; J.2; G.1.2 We introduce cppdlr, a C++ library implementing the discrete Lehmann representation (DLR) of functions in imaginary time and Matsubara frequency, such as Green's functions and self-energies. The DLR is based on a low-rank approximation of the analytic continuation kernel, and yields a compact and explicit basis consisting of exponentials in imaginary time and simple poles in Matsubara frequency. cppdlr constructs the DLR basis and associated interpolation grids, and implements standard operations. It provides a flexible yet high-level interface, facilitating the incorporation of the DLR into both small-scale applications and existing large-scale software projects. |
| title | cppdlr: Imaginary time calculations using the discrete Lehmann representation |
| topic | Computational Physics Strongly Correlated Electrons Numerical Analysis 81-04, 65D15 G.4; J.2; G.1.2 |
| url | https://arxiv.org/abs/2404.02334 |