تقرير
Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
| العنوان: | Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes |
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| المؤلفون: | Bernard, Pierre-Antoine, Mann, Zachary, Parez, Gilles, Vinet, Luc |
| المصدر: | J. Phys. A: Math. Theor. 57 (2024) 015002 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, Mathematical Physics, 82B20, 81V74, 05E30, 20G42 |
| الوصف: | 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. Comment: v2: minor corrections to match the published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8121/ad0f4a |
| URL الوصول: | http://arxiv.org/abs/2307.03345 |
| رقم الأكسشن: | edsarx.2307.03345 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8121/ad0f4a |
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