Tensor Network Loop Cluster Expansions for Quantum Many-Body Problems
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917435581399040 |
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| author | Gray, Johnnie Park, Gunhee Evenbly, Glen Pancotti, Nicola Kjønstad, Eirik F. Chan, Garnet Kin-Lic |
| author_facet | Gray, Johnnie Park, Gunhee Evenbly, Glen Pancotti, Nicola Kjønstad, Eirik F. Chan, Garnet Kin-Lic |
| contents | We analyze the tensor network loop cluster expansion, introduced in [G. Park, J. Gray, and G. K.-L. Chan, Phys. Rev. B 112, 174310 (2025)] as a systematic correction to belief propagation, in the context of general quantum many-body problems. We provide numerical examples of the accuracy and practical applicability of the approach for the computation of ground-state observables for high bond dimension tensor networks, in two- and three-dimensions, with open and periodic boundary conditions, and for spin and fermion problems. We find that the contraction error converges approximately exponentially with cluster size, enabling accurate local observable and energy estimates for many systems where standard contraction methods are otherwise impractical. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05647 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensor Network Loop Cluster Expansions for Quantum Many-Body Problems Gray, Johnnie Park, Gunhee Evenbly, Glen Pancotti, Nicola Kjønstad, Eirik F. Chan, Garnet Kin-Lic Quantum Physics We analyze the tensor network loop cluster expansion, introduced in [G. Park, J. Gray, and G. K.-L. Chan, Phys. Rev. B 112, 174310 (2025)] as a systematic correction to belief propagation, in the context of general quantum many-body problems. We provide numerical examples of the accuracy and practical applicability of the approach for the computation of ground-state observables for high bond dimension tensor networks, in two- and three-dimensions, with open and periodic boundary conditions, and for spin and fermion problems. We find that the contraction error converges approximately exponentially with cluster size, enabling accurate local observable and energy estimates for many systems where standard contraction methods are otherwise impractical. |
| title | Tensor Network Loop Cluster Expansions for Quantum Many-Body Problems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.05647 |