Error-correction properties of an interacting topological insulator

verfasst von: Amit Jamadagni, Hendrik Weimer
Abstract: We analyze the phase diagram of a topological insulator model including antiferromagnetic interactions in the form of an extended Su-Schrieffer Heeger model. To this end, we employ a recently introduced operational definition of topological order based on the ability of a system to perform topological error correction. We show that the necessary error correction statistics can be obtained efficiently using a Monte-Carlo sampling of a matrix product state representation of the ground state wave function. Specifically, we identify two distinct symmetry-protected topological phases corresponding to two different fully dimerized reference states. Finally, we extend the notion of error correction to classify thermodynamic phases to those exhibiting local order parameters, finding a topologically trivial antiferromagnetic phase for sufficiently strong interactions.
Organisationseinheit(en): QUEST Leibniz Forschungsschule
Institut für Theoretische Physik
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)
Typ: Artikel
Journal: Physical Review B
Band: 106
ISSN: 2469-9950
Publikationsdatum: 19.09.2022
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Elektronische, optische und magnetische Materialien, Physik der kondensierten Materie
Elektronische Version(en): https://arxiv.org/abs/2103.00011 (Zugang: Offen)
https://doi.org/10.1103/PhysRevB.106.115133 (Zugang: Geschlossen)

BibTeX

@article{75bfd25a724b4848bd1e44ac99ad78b7,
title = "Error-correction properties of an interacting topological insulator",
abstract = "We analyze the phase diagram of a topological insulator model including antiferromagnetic interactions in the form of an extended Su-Schrieffer Heeger model. To this end, we employ a recently introduced operational definition of topological order based on the ability of a system to perform topological error correction. We show that the necessary error correction statistics can be obtained efficiently using a Monte-Carlo sampling of a matrix product state representation of the ground state wave function. Specifically, we identify two distinct symmetry-protected topological phases corresponding to two different fully dimerized reference states. Finally, we extend the notion of error correction to classify thermodynamic phases to those exhibiting local order parameters, finding a topologically trivial antiferromagnetic phase for sufficiently strong interactions. ",
keywords = "cond-mat.str-el, quant-ph",
author = "Amit Jamadagni and Hendrik Weimer",
note = "Funding Information: We thank S. Diehl, P. Recher, and B. Vermersch for fruitful discussions. This work was funded by the Volkswagen Foundation, by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within SFB 1227 (DQ-mat, project A04), SPP 1929 (GiRyd), and under Germany's Excellence Strategy – EXC-2123 QuantumFrontiers (Grant No. 390837967).",
year = "2022",
month = sep,
day = "19",
doi = "10.1103/PhysRevB.106.115133",
language = "English",
volume = "106",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Institute of Physics",
number = "11",
}