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

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

G. Evenbly
(
- Queensland U.
)
,
G. Vidal
(
- Queensland U.
)

Jan 16, 2008

14 pages

Published in:

New J.Phys. 12 (2010) 025007,
New J.Phys. 12 (2010) 025007

e-Print:

0801.2449 [quant-ph]

DOI:

10.1088/1367-2630/12/2/025007

View in:

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Abstract: (arXiv)

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.

Note:

14 pages, 11 figures, substantial revisions

05.30.-d
02.70.-c
03.67.Mn
05.50.+q

References(41)

Figures(11)

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