Recent Progress in Entanglement Renormalization

Guifre Vidal
University of Queensland

Entanglement Renormalization (ER) has been proposed as a real space renormalization group transformation for quantum lattice systems in D spatial dimensions [Phys. Rev. Lett. 99, 220405 (2007)]. Its main novelty is the use of disentanglers, namely unitary transformations that act accross a spin block boundary, to remove short-range entanglement from the system's ground state. In this talk I will first review the basic concepts underlaying ER and then present a summary of the most recent numerical results. Specifically, I intend to describe the simulation of lattice systems at a quantum critical point by exploiting scale invariance; and the simulation of two dimensional lattice systems that are beyond the reach of Monte Carlo sampling techniques, including several spin models of frustrated antiferromagnets.

Presentation (PDF File)

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