Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states
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 stabilized 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.
Authors
- Matteo Rizzi (ORCID: https://orcid.org/0000-0002-8283-1005)
- Alberto Nardin (ORCID: https://orcid.org/0009-0003-6465-8995)
- Sylvain Nascimbène (ORCID: https://orcid.org/0000-0002-3931-9436)
- Leonardo Mazza (ORCID: https://orcid.org/0000-0002-6754-127X)
- Raphael Lopes (ORCID: https://orcid.org/0000-0003-3877-8478)
Institutions
- Forschungszentrum Jülich (DE)
- Université Paris-Saclay (FR)
- Laboratoire Kastler Brossel (FR)
- Sorbonne Université (FR)
- Laboratoire de Physique Théorique et Modèles Statistiques (FR)
- Grunberger Diabetes Institute (US)
- École Normale Supérieure (BI)
- Instituto de Física Teórica (ES)
- Laboratoire Médiations (FR)
Publication Details
- Journal
- Physical review. B./Physical review. B
- Published
- 2025-03-31
- DOI
- https://doi.org/10.1103/physrevb.111.115162
- Primary Topic
- Quantum and electron transport phenomena
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Deutsche Forschungsgemeinschaft
- Institut Universitaire de France
- European Research Council