Fermionic tensor network contraction for arbitrary geometries
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arXiv
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| Hauptverfasser: | , , , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911230237605888 |
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| author | Gao, Yang Zhai, Huanchen Gray, Johnnie Peng, Ruojing Park, Gunhee Liu, Wen-Yuan Kjønstad, Eirik F. Chan, Garnet Kin-Lic |
| author_facet | Gao, Yang Zhai, Huanchen Gray, Johnnie Peng, Ruojing Park, Gunhee Liu, Wen-Yuan Kjønstad, Eirik F. Chan, Garnet Kin-Lic |
| contents | We describe our implementation of fermionic tensor network contraction on arbitrary lattices within both a globally ordered and locally ordered formalism. We provide a pedagogical description of these two conventions as implemented for the quimb library. Using hyperoptimized approximate contraction strategies, we present benchmark fermionic projected entangled pair states simulations of finite Hubbard models defined on the three-dimensional diamond lattice and random regular graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_02215 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fermionic tensor network contraction for arbitrary geometries Gao, Yang Zhai, Huanchen Gray, Johnnie Peng, Ruojing Park, Gunhee Liu, Wen-Yuan Kjønstad, Eirik F. Chan, Garnet Kin-Lic Quantum Physics Strongly Correlated Electrons We describe our implementation of fermionic tensor network contraction on arbitrary lattices within both a globally ordered and locally ordered formalism. We provide a pedagogical description of these two conventions as implemented for the quimb library. Using hyperoptimized approximate contraction strategies, we present benchmark fermionic projected entangled pair states simulations of finite Hubbard models defined on the three-dimensional diamond lattice and random regular graphs. |
| title | Fermionic tensor network contraction for arbitrary geometries |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2410.02215 |