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arXiv · 0810.0580

Entanglement renormalization, scale invariance, and quantum criticality

Robert N. C. Pfeifer·Glen Evenbly·Guifre Vidal
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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.

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Robert N. C. Pfeifer, Glen Evenbly, Guifre Vidal. 2009-04-10. Entanglement renormalization, scale invariance, and quantum criticality. https://doi.org/10.1103/physreva.79.040301

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