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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.02130 |
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| _version_ | 1866914684080226304 |
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| author | Shao, Siqi Komijani, Yashar |
| author_facet | Shao, Siqi Komijani, Yashar |
| contents | A large class of strongly correlated quantum systems can be described in certain large-N limits by quadratic in field actions along with self-consistency equations that determine the two-point functions. We use the replica approach and the notion of shifted Matsubara frequency to compute von Neumann and Rényi entanglement entropies for generic bi-partitioning of such systems. We argue that the von Neumann entropy can be computed from equilibrium spectral functions w/o partitioning, while the Rényi entropy requires re-calculating the spectrum in the interacting case. We demonstrate the flexibility of the method by applying it to examples of a two-site problem in presence of decoherence, and coupled Sachdev-Ye-Kitaev models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_02130 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Towards Entanglement Entropy of Random Large-N Theories Shao, Siqi Komijani, Yashar Strongly Correlated Electrons Quantum Physics A large class of strongly correlated quantum systems can be described in certain large-N limits by quadratic in field actions along with self-consistency equations that determine the two-point functions. We use the replica approach and the notion of shifted Matsubara frequency to compute von Neumann and Rényi entanglement entropies for generic bi-partitioning of such systems. We argue that the von Neumann entropy can be computed from equilibrium spectral functions w/o partitioning, while the Rényi entropy requires re-calculating the spectrum in the interacting case. We demonstrate the flexibility of the method by applying it to examples of a two-site problem in presence of decoherence, and coupled Sachdev-Ye-Kitaev models. |
| title | Towards Entanglement Entropy of Random Large-N Theories |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2303.02130 |