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 the 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. © 2009 IOP Publishing Ltd.
CITATION STYLE
Cirac, J. I., & Verstraete, F. (2009). Renormalization and tensor product states in spin chains and lattices. Journal of Physics A: Mathematical and Theoretical, 42(50). https://doi.org/10.1088/1751-8113/42/50/504004
Mendeley helps you to discover research relevant for your work.