Renormalization and tensor product states in spin chains and lattices

Autor(en)

J. Ignacio Cirac, Frank Verstraete

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Max-Planck-Institut für Quantenoptik

Journal

Journal of Physics A: Mathematical and Theoretical

Band

42

Anzahl der Seiten

34

ISSN

1751-8113

DOI

https://doi.org/10.1088/1751-8113/42/50/504004

Publikationsdatum

12-2009

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/bd2e04c4-bbc5-4302-9db1-ec46140e9cfa