Communications in Mathematical Physics

, Volume 261, Issue 3, pp 799–819

Ground States in Relatively Bounded Quantum Perturbations of Classical Lattice Systems


DOI: 10.1007/s00220-005-1456-9

Cite this article as:
Yarotsky, D. Commun. Math. Phys. (2006) 261: 799. doi:10.1007/s00220-005-1456-9


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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Department of Mathematical PhysicsUniversity College DublinBelfieldIreland
  2. 2.Mathematisches Institut der Universität MünchenMünchenGermany

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