Renormalization and tensor product states in spin chains and lattices
Strongly Correlated Electrons
2010-06-22 v1
Abstract
We review different descriptions of many--body quantum systems in terms of tensor product states. We introduce several families of such states in terms of known renormalization procedures, and show that they naturally arise in that context. We concentrate on Matrix Product States, Tree Tensor States, Multiscale Entanglement Renormalization Ansatz, and Projected Entangled Pair States. We highlight some of their properties, and show how they can be used to describe a variety of systems.
Keywords
Cite
@article{arxiv.0910.1130,
title = {Renormalization and tensor product states in spin chains and lattices},
author = {J. I. Cirac and F. Verstraete},
journal= {arXiv preprint arXiv:0910.1130},
year = {2010}
}
Comments
Review paper for the special issue of J. Phys. A