A Lieb-Robinson bound for quantum spin chains with strong on-site impurities
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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.
Originalsprog | Engelsk |
---|---|
Artikelnummer | 2250007 |
Tidsskrift | Reviews in Mathematical Physics |
Vol/bind | 34 |
Udgave nummer | 4 |
Antal sider | 20 |
ISSN | 0129-055X |
DOI | |
Status | Udgivet - 2022 |
- math-ph, math.MP
Forskningsområder
ID: 259525938