Strict area law entanglement versus chirality
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912681639804928 |
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| author | Li, Xiang Lin, Ting-Chun McGreevy, John Shi, Bowen |
| author_facet | Li, Xiang Lin, Ting-Chun McGreevy, John Shi, Bowen |
| contents | Chirality is a property of a gapped phase of matter in two spatial dimensions that can be manifested through non-zero thermal or electrical Hall conductance. In this paper, we prove two no-go theorems that forbid such chirality for a quantum state in a finite dimensional local Hilbert space with strict area law entanglement entropies. As a crucial ingredient in the proofs, we introduce a new quantum information-theoretic primitive called instantaneous modular flow, which has many other potential applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10306 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strict area law entanglement versus chirality Li, Xiang Lin, Ting-Chun McGreevy, John Shi, Bowen Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Mathematical Physics Chirality is a property of a gapped phase of matter in two spatial dimensions that can be manifested through non-zero thermal or electrical Hall conductance. In this paper, we prove two no-go theorems that forbid such chirality for a quantum state in a finite dimensional local Hilbert space with strict area law entanglement entropies. As a crucial ingredient in the proofs, we introduce a new quantum information-theoretic primitive called instantaneous modular flow, which has many other potential applications. |
| title | Strict area law entanglement versus chirality |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2408.10306 |