Quantum obesity and steering ellipsoids for fermionic fields in dilaton black hole
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916810280927232 |
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| author | Elghaayda, Samira Abd-Rabbou, M. Y. Mansour, Mostafa |
| author_facet | Elghaayda, Samira Abd-Rabbou, M. Y. Mansour, Mostafa |
| contents | This paper investigates quantum obesity (QO), quantum discord (QD), and the quantum steering ellipsoid (QSE) for bipartite Gisin states subjected to Garfinkle-Horowitz-Strominger (GHS) dilation of spacetime on the second qubit. These three quantifiers are introduced to characterize quantum correlations beyond entanglement and can also function as entanglement witnesses. Our results demonstrate a monotonic decrease in the physical accessibility of both QD and QO as the dilation parameter increases within the region-I of the second qubit. Conversely, in the anti-particle region, the accessibility of QD and QO stabilizes at finite values of the dilation parameter owing to the influence of the Pauli exclusion principle and Fermi-Dirac statistics, subsequently increasing gradually. Notably, the QSE in the region-I expands as the Dirac field frequency rises and the dilation parameter diminishes, while the opposite trend is observed in the anti-particle region. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06869 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum obesity and steering ellipsoids for fermionic fields in dilaton black hole Elghaayda, Samira Abd-Rabbou, M. Y. Mansour, Mostafa Quantum Physics General Relativity and Quantum Cosmology Mathematical Physics This paper investigates quantum obesity (QO), quantum discord (QD), and the quantum steering ellipsoid (QSE) for bipartite Gisin states subjected to Garfinkle-Horowitz-Strominger (GHS) dilation of spacetime on the second qubit. These three quantifiers are introduced to characterize quantum correlations beyond entanglement and can also function as entanglement witnesses. Our results demonstrate a monotonic decrease in the physical accessibility of both QD and QO as the dilation parameter increases within the region-I of the second qubit. Conversely, in the anti-particle region, the accessibility of QD and QO stabilizes at finite values of the dilation parameter owing to the influence of the Pauli exclusion principle and Fermi-Dirac statistics, subsequently increasing gradually. Notably, the QSE in the region-I expands as the Dirac field frequency rises and the dilation parameter diminishes, while the opposite trend is observed in the anti-particle region. |
| title | Quantum obesity and steering ellipsoids for fermionic fields in dilaton black hole |
| topic | Quantum Physics General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2408.06869 |