A Lieb-Robinson bound for quantum spin chains with strong on-site impurities

Gebert, Martin; Moon, Alvin und Nachtergaele, Bruno (2022): A Lieb-Robinson bound for quantum spin chains with strong on-site impurities. In: Reviews in Mathematical Physics, Bd. 34, Nr. 4, 2250007

Abstract

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Informatik
• Themengebiete: 000 Informatik, Informationswissenschaft, allgemeine Werke > 004 Informatik
• ISSN: 0129-055X
• Sprache: Englisch