Lieb-Robinson bounds via the Combes-Thomas estimate

Tali Braester; Haochen Luo; George Peykanu; Sergii Solomakha

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arXiv · 2610.28927

Lieb-Robinson bounds via the Combes-Thomas estimate

Tali Braester·Haochen Luo·George Peykanu·Sergii Solomakha

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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.

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Tali Braester, Haochen Luo, George Peykanu, Sergii Solomakha. 2026-10-20. Lieb-Robinson bounds via the Combes-Thomas estimate. https://arxiv.org/abs/2610.28927

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