Ground states in relatively bounded quantum perturbations of classical lattice systems

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 AK...

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Bibliographic Details
Published in:arXiv.org 2004-12
Main Author: Yarotsky, D A
Format: Article
Language:English
Subjects:
Correlation analysis
Ground state
Perturbation methods
Perturbation theory
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0412040