Entanglement renormalization in free bosonic systems: real-space versus momentum-space renormalization group transforms

被引：32

作者：

Evenbly, G. ^{[1
]}

Vidal, G. ^{[1
]}

机构：

[1] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

来源：

NEW JOURNAL OF PHYSICS | 2010年 / 12卷

基金：

澳大利亚研究理事会;

关键词：

FORMULATION;

D O I：

10.1088/1367-2630/12/2/025007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The ability of entanglement renormalization (ER) to generate a proper real-space renormalization group (RG) flow in extended quantum systems is analyzed in the setting of harmonic lattice systems in D = 1 and 2 spatial dimensions. A conceptual overview of the steps involved in momentum-space RG is provided and contrasted against the equivalent steps in the real-space setting. The real-space RG flow, as generated by ER, is compared against the exact results from momentum-space RG, including an investigation of a critical fixed point and the effect of relevant and irrelevant perturbations.

引用

页数：27

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