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

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

2008-01-16

arxiv.org/abs/0801.2449v2

New J. Phys. 12, 025007 (2010)

Physics

Quantum Physics

14 pages, 11 figures, substantial revisions

Scientific paper

The ability of entanglement renormalization (ER) to generate a proper real-space renormalization group (RG) flow in extended quantum systems is analysed in the setting of harmonic lattice systems in D=1 and D=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.

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