Emergent geometry from entanglement structure
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866912674208546816 |
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| author | Roy, Sudipto Singha Santalla, Silvia N. Rodríguez-Laguna, Javier Sierra, Germán |
| author_facet | Roy, Sudipto Singha Santalla, Silvia N. Rodríguez-Laguna, Javier Sierra, Germán |
| contents | We attempt to reveal the geometry, emerged from the entanglement structure of any general $N$-party pure quantum many-body state by representing entanglement entropies corresponding to all $2^N $ bipartitions of the state by means of a generalized adjacency matrix. We show this representation is often exact and may lead to a geometry very different than suggested by the Hamiltonian. Moreover, in all the cases, it yields a natural entanglement contour, similar to previous proposals. The formalism is extended for conformal invariant systems, and a more insightful interpretation of entanglement is presented as a flow among different parts of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_03645 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Emergent geometry from entanglement structure Roy, Sudipto Singha Santalla, Silvia N. Rodríguez-Laguna, Javier Sierra, Germán Quantum Physics Strongly Correlated Electrons We attempt to reveal the geometry, emerged from the entanglement structure of any general $N$-party pure quantum many-body state by representing entanglement entropies corresponding to all $2^N $ bipartitions of the state by means of a generalized adjacency matrix. We show this representation is often exact and may lead to a geometry very different than suggested by the Hamiltonian. Moreover, in all the cases, it yields a natural entanglement contour, similar to previous proposals. The formalism is extended for conformal invariant systems, and a more insightful interpretation of entanglement is presented as a flow among different parts of the system. |
| title | Emergent geometry from entanglement structure |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2104.03645 |