Ground states in relatively bounded quantum perturbations of classical lattice systems

Details Ground states in relatively bounded quantum perturbations of classical lattice systems Ground states in relatively bounded quantum perturbations of classical lattice systems

2004-12-13

arxiv.org/abs/math-ph/0412040v1

Commun. Math. Phys. 261, 799-819 (2006)

Physics

Mathematical Physics

25 pages

Scientific paper

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.

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