Entanglement renormalization in free bosonic systems: real-space versus momentum-space renormalization group transforms
Glen Evenbly, Guifré Vidal
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.
arXiv:0801.2449•New Journal of Physics•Feb 26, 2010•49 citations