Renormalization and tensor product states in spin chains and lattices

Details Renormalization and tensor product states in spin chains and lattices Renormalization and tensor product states in spin chains and lattices

2009-10-06

arxiv.org/abs/0910.1130v1

J. Phys. A: Math. Theor. 42, 504004 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

Review paper for the special issue of J. Phys. A

Scientific paper

10.1088/1751-8113/42/50/504004

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.

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