Sudden change in entanglement Hamiltonian: Phase diagram of an Ising entanglement Hamiltonian
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914971481276416 |
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| author | Wang, Zhe Yang, Siyi Mao, Bin-Bin Cheng, Meng Yan, Zheng |
| author_facet | Wang, Zhe Yang, Siyi Mao, Bin-Bin Cheng, Meng Yan, Zheng |
| contents | The form of the entanglement Hamiltonian varies with the parameters of the original system. Whether there is a singularity is the key problem for demonstrating/negating the universality of the relation between the entanglement spectrum and edge energy spectrum. We carefully study the phase diagram of a 1D Ising entanglement Hamiltonian as an example to clarify the long-standing controversy of the general relation between the entanglement Hamiltonian and original Hamiltonian. Interestingly, even if the singularities indeed exist, the Li-Haldane-Poilblanc conjecture, i.e., the general relation between the entanglement spectrum and edge energy spectrum, seemingly still holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10090 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sudden change in entanglement Hamiltonian: Phase diagram of an Ising entanglement Hamiltonian Wang, Zhe Yang, Siyi Mao, Bin-Bin Cheng, Meng Yan, Zheng Strongly Correlated Electrons Statistical Mechanics Quantum Physics The form of the entanglement Hamiltonian varies with the parameters of the original system. Whether there is a singularity is the key problem for demonstrating/negating the universality of the relation between the entanglement spectrum and edge energy spectrum. We carefully study the phase diagram of a 1D Ising entanglement Hamiltonian as an example to clarify the long-standing controversy of the general relation between the entanglement Hamiltonian and original Hamiltonian. Interestingly, even if the singularities indeed exist, the Li-Haldane-Poilblanc conjecture, i.e., the general relation between the entanglement spectrum and edge energy spectrum, seemingly still holds. |
| title | Sudden change in entanglement Hamiltonian: Phase diagram of an Ising entanglement Hamiltonian |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2410.10090 |