Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911307353030656 |
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| author | Jasser, Barbara Odavić, Jovan Hamma, Alioscia |
| author_facet | Jasser, Barbara Odavić, Jovan Hamma, Alioscia |
| contents | The Sachdev-Ye-Kitaev (SYK) model is of paramount importance for the understanding of both strange metals and a microscopic theory of two-dimensional gravity. We study the interplay between Stabilizer Rényi Entropy (SRE) and entanglement entropy in both the ground state and highly excited states of the SYK4+SYK2 model interpolating the highly chaotic four-body interactions model with the integrable two-body interactions one. The interplay between these quantities is assessed also through universal statistics of the entanglement spectrum and its anti-flatness. We find that SYK4 is indeed characterized by a complex pattern of both entanglement and non-stabilizer resources while SYK2 is non-universal and not complex. We discuss the fragility and robustness of these features depending on the interpolation parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03093 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model Jasser, Barbara Odavić, Jovan Hamma, Alioscia Quantum Physics Strongly Correlated Electrons High Energy Physics - Theory Chaotic Dynamics Exactly Solvable and Integrable Systems The Sachdev-Ye-Kitaev (SYK) model is of paramount importance for the understanding of both strange metals and a microscopic theory of two-dimensional gravity. We study the interplay between Stabilizer Rényi Entropy (SRE) and entanglement entropy in both the ground state and highly excited states of the SYK4+SYK2 model interpolating the highly chaotic four-body interactions model with the integrable two-body interactions one. The interplay between these quantities is assessed also through universal statistics of the entanglement spectrum and its anti-flatness. We find that SYK4 is indeed characterized by a complex pattern of both entanglement and non-stabilizer resources while SYK2 is non-universal and not complex. We discuss the fragility and robustness of these features depending on the interpolation parameter. |
| title | Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model |
| topic | Quantum Physics Strongly Correlated Electrons High Energy Physics - Theory Chaotic Dynamics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2502.03093 |