Coarse-grained Bootstrap of Quantum Many-body Systems
Abstract
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.
Cite
@article{arxiv.2412.07837,
title = {Coarse-grained Bootstrap of Quantum Many-body Systems},
author = {Minjae Cho and Colin Oscar Nancarrow and Petar Tadić and Yuan Xin and Zechuan Zheng},
journal= {arXiv preprint arXiv:2412.07837},
year = {2025}
}
Comments
v1: 10 figures, public code included, v2: moved example code to anc folder, v3: minor error fixed and small adjustments, v4: small adjustments