Details
| Original language | English |
|---|---|
| Article number | 083104 |
| Number of pages | 21 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2023 |
| Publication status | Published - 22 Aug 2023 |
Abstract
We study reduced density matrices of the integrable critical restricted solid-on-solid (RSOS) model in a particular topological sector containing the ground state. Similar as in the spin- 1/2 Heisenberg model it has been observed that correlation functions of this model on short segments can be 'factorized': they are completely determined by a single nearest-neighbour two-point function ω and a set of structure functions. While ω captures the dependence on the system size and the state of the system the structure functions can be expressed in terms of the possible operators on the segment, in the present case representations of the Temperley-Lieb algebra TLn, and are independent of the model parameters. We present explicit results for the function ω in the infinite system ground state of the model and compute multi-point local height probabilities for up to four adjacent sites for the RSOS model and the related three-point correlation functions of non-Abelian su(2)k anyons.
Keywords
- factorization of correlation functions, interaction-round-a-face models, reduced q-Knizhnik-Zamolodchikov equation, Temperley-Lieb algebra, Yang-Baxter integrability
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
- Mathematics(all)
- Statistics and Probability
- Decision Sciences(all)
- Statistics, Probability and Uncertainty
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In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2023, 083104, 22.08.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Factorization of density matrices in the critical RSOS models
AU - Westerfeld, Daniel
AU - Großpietsch, Maxime
AU - Kakuschke, Hannes
AU - Frahm, Holger
N1 - Funding Information: The authors thank Alexi Morin Duchesne and Frank Göhmann for valuable discussions. This work is part of the programme of the research unit “Correlations in Integrable Quantum Many-Body Systems” (FOR 2316) funded by the Deutsche Forschungsgemeinschaft.
PY - 2023/8/22
Y1 - 2023/8/22
N2 - We study reduced density matrices of the integrable critical restricted solid-on-solid (RSOS) model in a particular topological sector containing the ground state. Similar as in the spin- 1/2 Heisenberg model it has been observed that correlation functions of this model on short segments can be 'factorized': they are completely determined by a single nearest-neighbour two-point function ω and a set of structure functions. While ω captures the dependence on the system size and the state of the system the structure functions can be expressed in terms of the possible operators on the segment, in the present case representations of the Temperley-Lieb algebra TLn, and are independent of the model parameters. We present explicit results for the function ω in the infinite system ground state of the model and compute multi-point local height probabilities for up to four adjacent sites for the RSOS model and the related three-point correlation functions of non-Abelian su(2)k anyons.
AB - We study reduced density matrices of the integrable critical restricted solid-on-solid (RSOS) model in a particular topological sector containing the ground state. Similar as in the spin- 1/2 Heisenberg model it has been observed that correlation functions of this model on short segments can be 'factorized': they are completely determined by a single nearest-neighbour two-point function ω and a set of structure functions. While ω captures the dependence on the system size and the state of the system the structure functions can be expressed in terms of the possible operators on the segment, in the present case representations of the Temperley-Lieb algebra TLn, and are independent of the model parameters. We present explicit results for the function ω in the infinite system ground state of the model and compute multi-point local height probabilities for up to four adjacent sites for the RSOS model and the related three-point correlation functions of non-Abelian su(2)k anyons.
KW - factorization of correlation functions
KW - interaction-round-a-face models
KW - reduced q-Knizhnik-Zamolodchikov equation
KW - Temperley-Lieb algebra
KW - Yang-Baxter integrability
UR - http://www.scopus.com/inward/record.url?scp=85169559337&partnerID=8YFLogxK
U2 - 10.1088/1742-5468/aceeef
DO - 10.1088/1742-5468/aceeef
M3 - Article
VL - 2023
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
SN - 1742-5468
M1 - 083104
ER -