Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866916668097167360 |
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| author | Nardin, A. Lopes, R. Rizzi, M. Mazza, L. Nascimbene, S. |
| author_facet | Nardin, A. Lopes, R. Rizzi, M. Mazza, L. Nascimbene, S. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07604 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states Nardin, A. Lopes, R. Rizzi, M. Mazza, L. Nascimbene, S. Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons Quantum Physics 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. |
| title | Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2312.07604 |