Islands, Double Holography, and the Entanglement Membrane
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912162009579520 |
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| author | Jiang, Hanzhi Blake, Mike Thompson, Anthony P. |
| author_facet | Jiang, Hanzhi Blake, Mike Thompson, Anthony P. |
| contents | The quantum extremal island rule allows us to compute the Page curves of Hawking radiation in semi-classical gravity. In this work, we study the connection between these calculations and the thermalisation of chaotic quantum many-body systems, using a coarse-grained description of entanglement dynamics known as the entanglement membrane. Starting from a double-holographic model of eternal two-sided asymptotically AdS$_d$ ($d>2$) black hole each coupled to a flat $d$-dimensional bath, we show that the entanglement dynamics in the late-time, large-subregion limit is described by entanglement membrane, thereby establishing a quantitative equivalence between a semi-classical gravity and a chaotic quantum many-body system calculation of the Page curve. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_15070 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Islands, Double Holography, and the Entanglement Membrane Jiang, Hanzhi Blake, Mike Thompson, Anthony P. High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons General Relativity and Quantum Cosmology Quantum Physics The quantum extremal island rule allows us to compute the Page curves of Hawking radiation in semi-classical gravity. In this work, we study the connection between these calculations and the thermalisation of chaotic quantum many-body systems, using a coarse-grained description of entanglement dynamics known as the entanglement membrane. Starting from a double-holographic model of eternal two-sided asymptotically AdS$_d$ ($d>2$) black hole each coupled to a flat $d$-dimensional bath, we show that the entanglement dynamics in the late-time, large-subregion limit is described by entanglement membrane, thereby establishing a quantitative equivalence between a semi-classical gravity and a chaotic quantum many-body system calculation of the Page curve. |
| title | Islands, Double Holography, and the Entanglement Membrane |
| topic | High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2412.15070 |