Entanglement renormalization, scale invariance, and quantum criticality

Details Entanglement renormalization, scale invariance, and quantum criticality Entanglement renormalization, scale invariance, and quantum criticality

2008-10-03

arxiv.org/abs/0810.0580v2

Physical Review A 79(4), 040301(R) (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevA.79.040301

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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