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arXiv math-ph/0412040math-phmath.MP
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经典格点系统相对有界量子微扰中的基态

Ground states in relatively bounded quantum perturbations of classical lattice systems

D. A. Yarotsky

摘要:

我们考虑经典晶格模型中相对有界量子微扰的基态。我们证明了一般的结果,这种扰动(存在的光谱间隙,截断相关性的指数衰减,解析的基态),并证明,特别是AKLT模型属于这一类,如果在足够大的规模。这直接意味着关于这个模型的一般微扰理论。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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