Entanglement of free fermions on Johnson graphs

DOI10.1063/5.0099879zbMATH Open1516.81092arXiv2104.11581OpenAlexW3159670721MaRDI QIDQ6110651

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Publication date: 6 July 2023

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Abstract: Free fermions on Johnson graphs $J(n,k)$ are considered and the entanglement entropy of sets of neighborhoods is computed. For a subsystem composed of a single neighborhood, an analytical expression is provided by the decomposition in irreducible submodules of the Terwilliger algebra of $J(n,k)$ embedded in two copies of $mathfraksu(2)$. For a subsytem composed of multiple neighborhoods, the construction of a block-tridiagonal operator which commutes with the entanglement Hamiltonian is presented, its usefulness in computing the entropy is stressed and the area law pre-factor is discussed.

Full work available at URL: https://arxiv.org/abs/2104.11581

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