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Density matrices in integrable face models

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

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OriginalspracheEnglisch
Aufsatznummer057
Seitenumfang40
FachzeitschriftSciPost Physics
Jahrgang11
Ausgabenummer3
PublikationsstatusVeröffentlicht - 14 Sept. 2021

Abstract

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.

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Density matrices in integrable face models. / Frahm, Holger; Westerfeld, Daniel.
in: SciPost Physics, Jahrgang 11, Nr. 3, 057, 14.09.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Frahm, H & Westerfeld, D 2021, 'Density matrices in integrable face models', SciPost Physics, Jg. 11, Nr. 3, 057. https://doi.org/10.21468/SciPostPhys.11.3.057
Frahm, H., & Westerfeld, D. (2021). Density matrices in integrable face models. SciPost Physics, 11(3), Artikel 057. https://doi.org/10.21468/SciPostPhys.11.3.057
Frahm H, Westerfeld D. Density matrices in integrable face models. SciPost Physics. 2021 Sep 14;11(3):057. doi: 10.21468/SciPostPhys.11.3.057
Frahm, Holger ; Westerfeld, Daniel. / Density matrices in integrable face models. in: SciPost Physics. 2021 ; Jahrgang 11, Nr. 3.
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