Visualization of Entanglement Geometry by Structural Optimization of Tree Tensor Network
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911272019165184 |
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| author | Hikihara, Toshiya Ueda, Hiroshi Okunishi, Kouichi Harada, Kenji Nishino, Tomotoshi |
| author_facet | Hikihara, Toshiya Ueda, Hiroshi Okunishi, Kouichi Harada, Kenji Nishino, Tomotoshi |
| contents | In tensor-network analysis of quantum many-body systems, it is of crucial importance to employ a tensor network with a spatial structure suitable for representing the state of interest. In the previous work [Hikihara et al., Phys. Rev. Research 5, 013031 (2023)], we proposed a structural optimization algorithm for tree-tensor networks. In this paper, we apply the algorithm to the Rainbow-chain model, which has a product state of singlet pairs between spins separated by various distances as an approximate ground state. We then demonstrate that the algorithm can successfully visualize the spatial pattern of spin-singlet pairs in the ground state. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_16000 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Visualization of Entanglement Geometry by Structural Optimization of Tree Tensor Network Hikihara, Toshiya Ueda, Hiroshi Okunishi, Kouichi Harada, Kenji Nishino, Tomotoshi Statistical Mechanics High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics In tensor-network analysis of quantum many-body systems, it is of crucial importance to employ a tensor network with a spatial structure suitable for representing the state of interest. In the previous work [Hikihara et al., Phys. Rev. Research 5, 013031 (2023)], we proposed a structural optimization algorithm for tree-tensor networks. In this paper, we apply the algorithm to the Rainbow-chain model, which has a product state of singlet pairs between spins separated by various distances as an approximate ground state. We then demonstrate that the algorithm can successfully visualize the spatial pattern of spin-singlet pairs in the ground state. |
| title | Visualization of Entanglement Geometry by Structural Optimization of Tree Tensor Network |
| topic | Statistical Mechanics High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2401.16000 |