Extracting Universal Entanglement Scaling from Mixed Fermionic Gaussian States via Entanglement Projected Entropy
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866913160186822656 |
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| author | Tao, Jia-Wen Jin, Hui-Ke |
| author_facet | Tao, Jia-Wen Jin, Hui-Ke |
| contents | Identifying spatial quantum correlations in mixed states is challenging because thermal mixed-state contributions obscure the entanglement encoded in subsystem entropy. Here, we introduce the entanglement projected entropy, a diagnostic for extracting boundary-sensitive quantum correlations from mixed fermionic Gaussian states. By resolving subsystem entropy into Gaussian entanglement channels and projecting their purification partners onto the physical complement, we obtain a closed-form expression in terms of the physical covariance matrix. In a one-dimensional free-fermion chain, it removes the volume-law mixed-state background and recovers the zero-temperature conformal scaling with the $c/3$ coefficient. In a two-dimensional half-filled $π$-flux model, it reveals a universal finite-temperature scaling collapse governed by an effective Dirac infrared length. These results establish entanglement projected entropy as a Gaussian spatial filter for boundary-sensitive quantum correlations hidden in mixed-state entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25102 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Extracting Universal Entanglement Scaling from Mixed Fermionic Gaussian States via Entanglement Projected Entropy Tao, Jia-Wen Jin, Hui-Ke Quantum Physics Statistical Mechanics Identifying spatial quantum correlations in mixed states is challenging because thermal mixed-state contributions obscure the entanglement encoded in subsystem entropy. Here, we introduce the entanglement projected entropy, a diagnostic for extracting boundary-sensitive quantum correlations from mixed fermionic Gaussian states. By resolving subsystem entropy into Gaussian entanglement channels and projecting their purification partners onto the physical complement, we obtain a closed-form expression in terms of the physical covariance matrix. In a one-dimensional free-fermion chain, it removes the volume-law mixed-state background and recovers the zero-temperature conformal scaling with the $c/3$ coefficient. In a two-dimensional half-filled $π$-flux model, it reveals a universal finite-temperature scaling collapse governed by an effective Dirac infrared length. These results establish entanglement projected entropy as a Gaussian spatial filter for boundary-sensitive quantum correlations hidden in mixed-state entropy. |
| title | Extracting Universal Entanglement Scaling from Mixed Fermionic Gaussian States via Entanglement Projected Entropy |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2605.25102 |