Tensor renormalization group approach to entanglement entropy
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909766228377600 |
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| author | Hayazaki, Takahiro Kadoh, Daisuke Takeda, Shinji Tanaka, Gota |
| author_facet | Hayazaki, Takahiro Kadoh, Daisuke Takeda, Shinji Tanaka, Gota |
| contents | We propose a method to compute the entanglement entropy (EE) using the tensor renormalization group (TRG) method. The reduced density matrix of a $d$-dimensional quantum system is represented as a $(d+1)$-dimensional tensor network. We develop an explicit algorithm for $d=1$ that enables the calculation of EE for single-interval subsystems of arbitrary size. We test our method in two-dimensional tensor network of the Ising model. The central charge is obtained as $c=0.49997(8)$ for $D=96$, which agrees with the theoretical prediction within an error, demonstrating the accuracy and reliability of our proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02185 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tensor renormalization group approach to entanglement entropy Hayazaki, Takahiro Kadoh, Daisuke Takeda, Shinji Tanaka, Gota High Energy Physics - Lattice We propose a method to compute the entanglement entropy (EE) using the tensor renormalization group (TRG) method. The reduced density matrix of a $d$-dimensional quantum system is represented as a $(d+1)$-dimensional tensor network. We develop an explicit algorithm for $d=1$ that enables the calculation of EE for single-interval subsystems of arbitrary size. We test our method in two-dimensional tensor network of the Ising model. The central charge is obtained as $c=0.49997(8)$ for $D=96$, which agrees with the theoretical prediction within an error, demonstrating the accuracy and reliability of our proposed method. |
| title | Tensor renormalization group approach to entanglement entropy |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2509.02185 |