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

Feb 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010njph...12b5007e&link_type=abstract

New Journal of Physics, Volume 12, Issue 2, pp. 025007 (2010).

Physics

14

Scientific paper

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.

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