Coarse-grained bootstrap of quantum many-body systems
A bstract We present a new computational framework combining coarse-graining techniques with bootstrap methods to study quantum many-body systems. The method efficiently computes rigorous upper and lower bounds on both zero- and finite-temperature expectation values of any local observables of infinite quantum spin chains. This is achieved by using tensor networks to coarse-grain bootstrap constraints, including positivity, translation invariance, equations of motion, and energy-entropy balance inequalities. Coarse-graining allows access to constraints from significantly larger subsystems than previously possible, yielding tighter bounds compared to those obtained without coarse-graining.
Authors
- Zechuan Zheng (ORCID: https://orcid.org/0000-0003-1507-8700)
- Petar Tadić (ORCID: https://orcid.org/0000-0002-1439-1685)
- Colin Oscar Nancarrow
- Y. L. Xin (ORCID: https://orcid.org/0000-0001-9083-5025)
- Minjae Cho (ORCID: https://orcid.org/0009-0001-0093-4116)
Institutions
- Perimeter Institute (CA)
- Fudan University (CN)
- Yale University (US)
- University of Chicago (US)
- University of Montenegro (ME)
- Carnegie Mellon University (US)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2026-02-23
- DOI
- https://doi.org/10.1007/jhep02(2026)222
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- U.S. Department of Energy
- Yale University
- Universidad Complutense de Madrid
- Institut Périmètre de physique théorique
- Office of Advanced Cyberinfrastructure