Robustness of topological order in the toric code with open boundaries

verfasst von

Amit Jamadagni, Hendrik Weimer, Arpan Bhattacharyya

Abstract

We analyze the robustness of topological order in the toric code in an open boundary setting in the presence of perturbations. The boundary conditions are introduced on a cylinder, and are classified into condensing and noncondensing classes depending on the behavior of the excitations at the boundary under perturbation. For the noncondensing class, we see that the topological order is more robust when compared to the case of periodic boundary conditions while in the condensing case topological order is lost as soon as the perturbation is turned on. In most cases, the robustness can be understood by the quantum phase diagram of a equivalent Ising model.

Organisationseinheit(en)

Institut für Theoretische Physik
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)

Externe Organisation(en)

Kyoto University
Fudan University

Typ

Artikel

Journal

Physical Review B

Band

98

ISSN

2469-9950

Publikationsdatum

21.12.2018

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Elektronische, optische und magnetische Materialien, Physik der kondensierten Materie

Elektronische Version(en)

https://doi.org/10.48550/arXiv.1804.09718 (Zugang: Offen)
https://doi.org/10.1103/PhysRevB.98.235147 (Zugang: Geschlossen)