Lieb-Robinson bounds via the Combes-Thomas estimate

2026-10-22 · arXiv Quantum Physics

arXiv:2610.28927v1 Announce Type: cross

Abstract: This paper studies quantum spin systems: networks of spins coupled by local interactions. The Lieb-Robinson bound predicts that in these systems, information propagates at an essentially finite speed. We produce a new proof of this result. Our approach relies on a spectral bound on entries of resolvents of band matrices, the Combes-Thomas estimate, rather than on the standard path-counting argument.

原文链接:https://arxiv.org/abs/2610.28927

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