A Lieb-Robinson bound for quantum spin chains with strong on-site impurities
| Autor: | Gebert, Martin, Moon, Alvin, Nachtergaele, Bruno |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0129055X22500076 |
| Popis: | We consider a quantum spin chain with nearest neighbor interactions and sparsely distributed on-site impurities. We prove commutator bounds for its Heisenberg dynamics which incorporate the coupling strengths of the impurities. The impurities are assumed to satisfy a minimum spacing, and each impurity has a non-degenerate spectrum. Our results are proven in a broadly applicable setting, both in finite volume and in thermodynamic limit. We apply our results to improve Lieb-Robinson bounds for the Heisenberg spin chain with a random, sparse transverse field drawn from a heavy-tailed distribution. Comment: 16 pages |
| Databáze: | arXiv |
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