Inchworm tensor train hybridization expansion quantum impurity solver
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866916894887378944 |
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| author | Yu, Yang Erpenbeck, André Zgid, Dominika Cohen, Guy Parcollet, Olivier Gull, Emanuel |
| author_facet | Yu, Yang Erpenbeck, André Zgid, Dominika Cohen, Guy Parcollet, Olivier Gull, Emanuel |
| contents | The investigation of quantum impurity models plays a crucial role in condensed matter physics because of their wide-ranging applications, such as embedding theories and transport problems. Traditional methods often fall short of producing accurate results for multi-orbital systems with complex interactions and off-diagonal hybridizations. Recently, tensor-train-based integration and summation techniques have shown promise as effective alternatives. In this study, we use tensor train methods to tackle quantum impurity problems formulated within the imaginary-time inchworm hybridization expansion framework. We identify key challenges in the inchworm expansion itself and its interplay with tensor-train-based methods. We demonstrate the accuracy and versatility of our approach by solving general quantum impurity problems. Our results suggest that tensor-train decomposition schemes offer a viable path toward accurate and efficient multi-orbital impurity solvers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16117 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inchworm tensor train hybridization expansion quantum impurity solver Yu, Yang Erpenbeck, André Zgid, Dominika Cohen, Guy Parcollet, Olivier Gull, Emanuel Strongly Correlated Electrons The investigation of quantum impurity models plays a crucial role in condensed matter physics because of their wide-ranging applications, such as embedding theories and transport problems. Traditional methods often fall short of producing accurate results for multi-orbital systems with complex interactions and off-diagonal hybridizations. Recently, tensor-train-based integration and summation techniques have shown promise as effective alternatives. In this study, we use tensor train methods to tackle quantum impurity problems formulated within the imaginary-time inchworm hybridization expansion framework. We identify key challenges in the inchworm expansion itself and its interplay with tensor-train-based methods. We demonstrate the accuracy and versatility of our approach by solving general quantum impurity problems. Our results suggest that tensor-train decomposition schemes offer a viable path toward accurate and efficient multi-orbital impurity solvers. |
| title | Inchworm tensor train hybridization expansion quantum impurity solver |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2505.16117 |