Repositorio
Institucional

Araujo de Resende, María Fernanda

Jimenez, J. P. Ibieta

Espiro, J. Lorca

Non-Abelian fusion rules from Abelian systems with SPT phases and graph topological order

ACADEMIC PRESS INC ELSEVIER SCIENCE

ANNALS OF PHYSICS

en

Since Padmanabhan and Teotonio-Sobrinho (2015) show the emergence of non-Abelian fusion rules in some examples of a class of Abelian models, but does not prove whether these rules also exist in other cases, the purpose of this paper is to present such proof emphasizing the importance of the existence of these rules. By the way, as the ground state of these models can be degenerated as a function of their algebra and, hence, they can support some symmetry-protected topological (SPT) phases, we prove that these non-Abelian fusion rules are always necessary for these SPT phase transitions to occur via a condensation mechanism or/and some global symmetry breaking. (c) 2022 Elsevier Inc. All rights reserved.

artículo original

10.1016/j.aop.2022.169109

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Two-dimensional lattice model

Non-abelian fusion rule

Condensation mechanism

Global symmetry breaking

Quantum computation

QUANTUM COMPUTATION

Física

Multidisciplinar

Modelo de red bidimensional

Regla de fusión no abeliana

Mecanismo de condensación

Rotura de simetría global

Computación cuántica

COMPUTACIÓN CUÁNTICA

Física de la Materia Condensada

Física de Partículas y Campos

Física (Teórica, Matemática, Criobiología y Ritmos Biológicos)

Non-Abelian fusion rules from Abelian systems with SPT phases and graph topological order

artículo original

version publicada

0

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https://doi.org/10.48550/arXiv.1808.09537

WOS:000870481500004