Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes

DOI10.1088/1751-8121/AD0F4AarXiv2307.03345OpenAlexW4388933831MaRDI QIDQ6189159

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Publication date: 12 January 2024

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Abstract: 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 $mathfrakso(3{)}_{-1}$. The entanglement Hamiltonian and its relation to Heun operators are also investigated.

Full work available at URL: https://arxiv.org/abs/2307.03345

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