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arXiv · 2307.03345

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

Pierre-Antoine Bernard·Zachary Mann·Gilles Parez·Luc Vinet
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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 $\mathfrak{so}(3)_{-1}$. The entanglement Hamiltonian and its relation to Heun operators are also investigated.

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Pierre-Antoine Bernard, Zachary Mann, Gilles Parez, Luc Vinet. 2023-07-07. Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes. https://doi.org/10.1088/1751-8121/ad0f4a

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