Experimental Verification of a Universal Operator Growth Hypothesis
Mesoscale and Nanoscale Physics
2026-04-13 v1 Materials Science
Abstract
F nuclear magnetic resonance free induction decay (FID) data are used to verify the predictions of a universal growth hypothesis for the Lanczos coefficients proposed by Parker et al. Our results strongly support this hypothesis and permit to calculate values of the growth parameter for three crystal orientations. For the magnetic field parallel the [100] crystal axis, we found . The special experimental conditions required for the observability of a singularity in the analytic continuation of the FID, which from the experimental data was found to be of branch-point type, are discussed.
Cite
@article{arxiv.2604.09362,
title = {Experimental Verification of a Universal Operator Growth Hypothesis},
author = {M. Engelsberg and Wilson Barros},
journal= {arXiv preprint arXiv:2604.09362},
year = {2026}
}