We propose a universal framework for classifying quantum states based on their scale-resolved correlation structure. Using the recently introduced information lattice, which provides an operational definition of the total amount of correlations at each scale, we define intrinsic characteristic length scales of quantum states. We analyze ground and midspectrum eigenstates of the disordered interacting Kitaev chain, showing that our framework provides a novel unbiased approach to quantum matter.
@article{arxiv.2410.10971,
title = {Universal Characterization of Quantum Many-Body States through Local Information},
author = {Claudia Artiaco and Thomas Klein Kvorning and David Aceituno Chávez and Loïc Herviou and Jens H. Bardarson},
journal= {arXiv preprint arXiv:2410.10971},
year = {2025}
}