Fast Mixing of Quantum Spin Chains at All Temperatures
Quantum Physics
2026-01-26 v2
Abstract
It is shown that every one-dimensional Hamiltonian with short-range interaction admits a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap at all finite temperatures. Consequently, their Gibbs states can be prepared in polylogarithmic depth, and satisfy exponential clustering of correlations, generalizing [Ara69].
Cite
@article{arxiv.2510.08533,
title = {Fast Mixing of Quantum Spin Chains at All Temperatures},
author = {Thiago Bergamaschi and Chi-Fang Chen},
journal= {arXiv preprint arXiv:2510.08533},
year = {2026}
}
Comments
Updated title. 63 pages, 8 figures