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Pré-Publication, Document De Travail Année : 2023

Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states

Résumé

We study the Bisognano-Wichmann Hamiltonian for fractional quantum Hall states defined on a sphere and explore its relationship with the entanglement Hamiltonian associated to the state. We present results for several examples, namely the bosonic Laughlin state stabilized by contact two-body interactions and the bosonic Moore-Read state by either three- or two-body interactions. Our findings demonstrate that the Bisognano-Wichmann Hamiltonian provides a reliable approximation of the entanglement Hamiltonian as a fully-local operator that can be written without any prior knowledge of the specific state under consideration.

Dates et versions

hal-04372646 , version 1 (04-01-2024)

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A Nardin, M Rizzi, Raphael Lopes, Leonardo Mazza, Sylvain Nascimbène. Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states. 2023. ⟨hal-04372646⟩
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