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Phys. Rev. A 79, 040301(R) (2009) [4 pages]

Entanglement renormalization, scale invariance, and quantum criticality

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Robert N. C. Pfeifer, Glen Evenbly, and Guifré Vidal
School of Physical Sciences, The University of Queensland, Queensland 4072, Australia

Received 3 October 2008; revised 2 January 2009; published 6 April 2009

The use of entanglement renormalization in the presence of scale invariance is investigated. We explain how to compute an accurate approximation of the critical ground state of a lattice model and how to evaluate local observables, correlators, and critical exponents. Our results unveil a precise connection between the multiscale entanglement renormalization ansatz and conformal field theory (CFT). Given a critical Hamiltonian on the lattice, this connection can be exploited to extract most of the conformal data of the CFT that describes the model in the continuum limit.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.040301
DOI:
10.1103/PhysRevA.79.040301
PACS:
03.67.−a, 64.70.Tg, 05.50.+q, 11.25.Hf