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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.08450 |
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| _version_ | 1866929755274608640 |
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| author | Lin, He-Yu He, Rong-Qiang Guo, Yibin Lu, Zhong-Yi |
| author_facet | Lin, He-Yu He, Rong-Qiang Guo, Yibin Lu, Zhong-Yi |
| contents | This paper introduces a hybrid approach combining Green's function Monte Carlo (GFMC) method with projected entangled pair state (PEPS) ansatz. This hybrid method regards PEPS as a trial state and a guiding wave function in GFMC. By leveraging PEPS's proficiency in capturing quantum state entanglement and GFMC's efficient parallel architecture, the hybrid method is well-suited for the accurate and efficient treatment of frustrated quantum spin systems. As a benchmark, we applied this approach to study the frustrated $J_1$-$J_2$ Heisenberg model on a square lattice with periodic boundary conditions (PBC). Compared with other numerical methods, our approach integrating PEPS and GFMC shows competitive accuracy in the performance of ground-state energy. This paper provides systematic and comprehensive discussion of the approach of our previous work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A hybrid method integrating Green's function Monte Carlo and projected entangled pair states Lin, He-Yu He, Rong-Qiang Guo, Yibin Lu, Zhong-Yi Strongly Correlated Electrons This paper introduces a hybrid approach combining Green's function Monte Carlo (GFMC) method with projected entangled pair state (PEPS) ansatz. This hybrid method regards PEPS as a trial state and a guiding wave function in GFMC. By leveraging PEPS's proficiency in capturing quantum state entanglement and GFMC's efficient parallel architecture, the hybrid method is well-suited for the accurate and efficient treatment of frustrated quantum spin systems. As a benchmark, we applied this approach to study the frustrated $J_1$-$J_2$ Heisenberg model on a square lattice with periodic boundary conditions (PBC). Compared with other numerical methods, our approach integrating PEPS and GFMC shows competitive accuracy in the performance of ground-state energy. This paper provides systematic and comprehensive discussion of the approach of our previous work. |
| title | A hybrid method integrating Green's function Monte Carlo and projected entangled pair states |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.08450 |