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

@article{Gebert2022ALB, title={A Lieb–Robinson bound for quantum spin chains with strong on-site impurities}, author={Martin Gebert and Alvin Moon and Bruno Nachtergaele}, journal={Reviews in Mathematical Physics}, year={2022} }

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…

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