Entanglement and confinement in lattice gauge theory tensor networks
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929255794868224 |
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| author | Knaute, Johannes Feuerstein, Matan Zohar, Erez |
| author_facet | Knaute, Johannes Feuerstein, Matan Zohar, Erez |
| contents | We develop a transfer operator approach for the calculation of Rényi entanglement entropies in arbitrary (i.e. Abelian and non-Abelian) pure lattice gauge theory projected entangled pair states in 2+1 dimensions. It is explicitly shown how the long-range behavior of these quantities gives rise to an entanglement area law in both the thermodynamic limit and in the continuum. We numerically demonstrate the applicability of our method to the $Z_2$ lattice gauge theory and relate some entanglement properties to the confinement-deconfinement transition therein. We provide evidence that Rényi entanglement entropies in certain cases do not provide a complete probe of (de)confinement properties compared to Wilson loop expectation values as other genuine (nonlocal) observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01930 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entanglement and confinement in lattice gauge theory tensor networks Knaute, Johannes Feuerstein, Matan Zohar, Erez Quantum Physics Strongly Correlated Electrons High Energy Physics - Lattice High Energy Physics - Theory We develop a transfer operator approach for the calculation of Rényi entanglement entropies in arbitrary (i.e. Abelian and non-Abelian) pure lattice gauge theory projected entangled pair states in 2+1 dimensions. It is explicitly shown how the long-range behavior of these quantities gives rise to an entanglement area law in both the thermodynamic limit and in the continuum. We numerically demonstrate the applicability of our method to the $Z_2$ lattice gauge theory and relate some entanglement properties to the confinement-deconfinement transition therein. We provide evidence that Rényi entanglement entropies in certain cases do not provide a complete probe of (de)confinement properties compared to Wilson loop expectation values as other genuine (nonlocal) observables. |
| title | Entanglement and confinement in lattice gauge theory tensor networks |
| topic | Quantum Physics Strongly Correlated Electrons High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.01930 |