Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866929206810640384 |
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| author | Shiraishi, Naoto |
| author_facet | Shiraishi, Naoto |
| contents | We rigorously prove that the spin-1/2 XYZ chain with a magnetic field has no local conserved quantity. Any nontrivial conserved quantity of this model is shown to be a sum of operators supported by contiguous sites with at least half of the entire system. We establish that the absence of local conserved quantity in concrete models is provable in a rigorous form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1803_02637 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field Shiraishi, Naoto Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Quantum Physics We rigorously prove that the spin-1/2 XYZ chain with a magnetic field has no local conserved quantity. Any nontrivial conserved quantity of this model is shown to be a sum of operators supported by contiguous sites with at least half of the entire system. We establish that the absence of local conserved quantity in concrete models is provable in a rigorous form. |
| title | Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field |
| topic | Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/1803.02637 |