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

• URL: http://arxiv.org/abs/2312.07604v1
• Date: Mon, 11 Dec 2023 15:38:11 GMT
• Title: Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states
• Authors: A. Nardin, R. Lopes, M. Rizzi, L. Mazza, S. Nascimbene
• Abstract summary: We study the Bisognano-Wichmann Hamiltonian for fractional quantum Hall states defined on a sphere. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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