Matrix product density operators

Autor(en)

J. I. Cirac, D. Perez-Garcia, N. Schuch, F. Verstraete

Abstrakt

We consider the tensors generating matrix product states and density operators in a spin chain. For pure states, we revise the renormalization procedure introduced in (Verstraete et al., 2005) and characterize the tensors corresponding to the fixed points. We relate them to the states possessing zero correlation length, saturation of the area law, as well as to those which generate ground states of local and commuting Hamiltonians. For mixed states, we introduce the concept of renormalization fixed points and characterize the corresponding tensors. We also relate them to concepts like finite correlation length, saturation of the area law, as well as to those which generate Gibbs states of local and commuting Hamiltonians. One of the main result of this work is that the resulting fixed points can be associated to the boundary theories of two-dimensional topological states, through the bulk-boundary correspondence introduced in (Cirac et al., 2011).

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Max-Planck-Institut für Quantenoptik, Universidad Complutense De Madrid, Spanish National Research Council (CSIC), Ghent University

Journal

Annals of Physics

Band

378

Seiten

100-149

Anzahl der Seiten

50

ISSN

0003-4916

Publikationsdatum

03-2017

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/3bb99999-1b17-45a9-afb1-6320e385e4e8