Entanglement renormalization, scale invariance, and quantum criticality

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.

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

References in corpus (6)

• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Entanglement renormalization
• A class of quantum many-body states that can be efficiently simulated
• Entanglement renormalization and topological order
• Quantum MERA Channels

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