Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866911772911337472 |
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| author | Bernard, Pierre-Antoine Mann, Zachary Parez, Gilles Vinet, Luc |
| author_facet | Bernard, Pierre-Antoine Mann, Zachary Parez, Gilles Vinet, Luc |
| contents | This study investigates the scaling behavior of the ground-state entanglement entropy in a model of free fermions on folded cubes. An analytical expression is derived in the large-diameter limit, revealing a strict adherence to the area law. The absence of the logarithmic enhancement expected for free fermions is explained using a decomposition of folded cubes in chains based on its Terwilliger algebra and $\mathfrak{so}(3)_{-1}$. The entanglement Hamiltonian and its relation to Heun operators are also investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03345 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes Bernard, Pierre-Antoine Mann, Zachary Parez, Gilles Vinet, Luc Statistical Mechanics Mathematical Physics 82B20, 81V74, 05E30, 20G42 This study investigates the scaling behavior of the ground-state entanglement entropy in a model of free fermions on folded cubes. An analytical expression is derived in the large-diameter limit, revealing a strict adherence to the area law. The absence of the logarithmic enhancement expected for free fermions is explained using a decomposition of folded cubes in chains based on its Terwilliger algebra and $\mathfrak{so}(3)_{-1}$. The entanglement Hamiltonian and its relation to Heun operators are also investigated. |
| title | Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes |
| topic | Statistical Mechanics Mathematical Physics 82B20, 81V74, 05E30, 20G42 |
| url | https://arxiv.org/abs/2307.03345 |