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

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.

v2: minor corrections to match the published version

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Cited by in corpus (2)

• Fermionic logarithmic negativity in the Krawtchouk chain
• Entanglement of free-fermion systems, signal processing and algebraic combinatorics