English

Entanglement renormalization, scale invariance, and quantum criticality

Strongly Correlated Electrons 2009-04-10 v2

Abstract

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 multi-scale entanglement renormalization ansatz (MERA) 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.

Keywords

Cite

@article{arxiv.0810.0580,
  title  = {Entanglement renormalization, scale invariance, and quantum criticality},
  author = {Robert N. C. Pfeifer and Glen Evenbly and Guifre Vidal},
  journal= {arXiv preprint arXiv:0810.0580},
  year   = {2009}
}

Comments

4 pages, 3 figures, RevTeX 4. Revised for greater clarity

R2 v1 2026-06-21T11:26:59.652Z