Nevanlinna.jl: A Julia implementation of Nevanlinna analytic continuation
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910372138582016 |
|---|---|
| author | Nogaki, Kosuke Fei, Jiani Gull, Emanuel Shinaoka, Hiroshi |
| author_facet | Nogaki, Kosuke Fei, Jiani Gull, Emanuel Shinaoka, Hiroshi |
| contents | We introduce a Julia implementation of the recently proposed Nevanlinna analytic continuation method. The method is based on Nevanlinna interpolants and, by construction, preserves the causality of a response function. For theoretical calculations without statistical noise, this continuation method is a powerful tool to extract real-frequency information from numerical input data on the Matsubara axis. This method has been applied to first-principles calculations of correlated materials. This paper presents its efficient and full-featured open-source implementation of the method including the Hamburger moment problem and smoothing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_10476 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nevanlinna.jl: A Julia implementation of Nevanlinna analytic continuation Nogaki, Kosuke Fei, Jiani Gull, Emanuel Shinaoka, Hiroshi Computational Physics Strongly Correlated Electrons We introduce a Julia implementation of the recently proposed Nevanlinna analytic continuation method. The method is based on Nevanlinna interpolants and, by construction, preserves the causality of a response function. For theoretical calculations without statistical noise, this continuation method is a powerful tool to extract real-frequency information from numerical input data on the Matsubara axis. This method has been applied to first-principles calculations of correlated materials. This paper presents its efficient and full-featured open-source implementation of the method including the Hamburger moment problem and smoothing. |
| title | Nevanlinna.jl: A Julia implementation of Nevanlinna analytic continuation |
| topic | Computational Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2302.10476 |