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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