Details
Originalsprache | Englisch |
---|---|
Aufsatznummer | 057 |
Seitenumfang | 40 |
Fachzeitschrift | SciPost Physics |
Jahrgang | 11 |
Ausgabenummer | 3 |
Publikationsstatus | Veröffentlicht - 14 Sept. 2021 |
Abstract
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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in: SciPost Physics, Jahrgang 11, Nr. 3, 057, 14.09.2021.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Density matrices in integrable face models
AU - Frahm, Holger
AU - Westerfeld, Daniel
N1 - Funding Information: We would like to thank H. Boos, F. Göhmann, and A. Klümper for stimulating discussions. This work is part of the programme of the research unit Correlations in Integrable Quantum Many-Body Systems (FOR 2316). Partial Funding has been provided by the Deutsche Forschungsge-meinschaft under grant no. FR 737/8.
PY - 2021/9/14
Y1 - 2021/9/14
N2 - Using the properties of the local Boltzmann weights of integrable interaction-round-a-face (IRF or face) models we express local operators in terms of generalized transfer matrices. This allows for the derivation of discrete functional equations for the reduced density matrices in inhomogeneous generalizations of these models. We apply these equations to study the density matrices for IRF models of various solid-on-solid type and quantum chains of non-Abelian \({su(2)_3}\) or Fibonacci anyons. Similar as in the six vertex model we find that reduced density matrices for a sequence of consecutive sites can be 'factorized', i.e. expressed in terms of nearest-neighbour correlators with coefficients which are independent of the model parameters. Explicit expressions are provided for correlation functions on up to three neighbouring sites.
AB - Using the properties of the local Boltzmann weights of integrable interaction-round-a-face (IRF or face) models we express local operators in terms of generalized transfer matrices. This allows for the derivation of discrete functional equations for the reduced density matrices in inhomogeneous generalizations of these models. We apply these equations to study the density matrices for IRF models of various solid-on-solid type and quantum chains of non-Abelian \({su(2)_3}\) or Fibonacci anyons. Similar as in the six vertex model we find that reduced density matrices for a sequence of consecutive sites can be 'factorized', i.e. expressed in terms of nearest-neighbour correlators with coefficients which are independent of the model parameters. Explicit expressions are provided for correlation functions on up to three neighbouring sites.
KW - cond-mat.stat-mech
KW - hep-th
KW - math-ph
UR - http://www.scopus.com/inward/record.url?scp=85117382847&partnerID=8YFLogxK
U2 - 10.21468/SciPostPhys.11.3.057
DO - 10.21468/SciPostPhys.11.3.057
M3 - Article
VL - 11
JO - SciPost Physics
JF - SciPost Physics
IS - 3
M1 - 057
ER -