Ground states in relatively bounded quantum perturbations of classical lattice systems

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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 on a large enough length scale. This immediately implies a general perturbation theory about this model.

Original languageEnglish
Pages (from-to)799-819
Number of pages21
JournalCommunications in Mathematical Physics
Volume261
Issue number3
DOIs
Publication statusPublished - Feb 2006
Externally publishedYes

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