Ground states in relatively bounded quantum perturbations of classical lattice systems
Mathematical Physics
2015-06-26 v1 math.MP
Abstract
We consider ground states in relatively bounded quantum perturbations of classical lattice models. We prove general results about such perturbations (existence of the spectral gap, exponential decay of truncated correlations, analyticity of the ground state), and also prove that in particular the AKLT model belongs to this class if viewed at large enough scale. This immediately implies a general perturbation theory about this model.
Keywords
Cite
@article{arxiv.math-ph/0412040,
title = {Ground states in relatively bounded quantum perturbations of classical lattice systems},
author = {D. A. Yarotsky},
journal= {arXiv preprint arXiv:math-ph/0412040},
year = {2015}
}
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25 pages