Fast Mixing of Quantum Spin Chains at All Temperatures
It is shown that every one-dimensional Hamiltonian with short-range interactions 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].
Authors
- Thiago Bergamaschi
- Chi-Fang Chen (ORCID: https://orcid.org/0000-0001-5589-7896)
Institutions
- Berkeley College (US)
- IIT@MIT (US)
- University of California, Berkeley (US)
Publication Details
- Published
- 2026-06-09
- DOI
- https://doi.org/10.1145/3798129.3800798
- Citations
- 1
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 12.60
Funders
- National Science Foundation
- Institut Polytechnique de Paris