Robustness of topological order in the toric code with open boundaries

authored by

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.

Organisation(s)

Institute of Theoretical Physics
CRC 1227 Designed Quantum States of Matter (DQ-mat)

External Organisation(s)

Kyoto University
Fudan University

Type

Article

Journal

Physical Review B

Volume

98

ISSN

2469-9950

Publication date

21.12.2018

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Electronic version(s)

https://doi.org/10.48550/arXiv.1804.09718 (Access: Open)
https://doi.org/10.1103/PhysRevB.98.235147 (Access: Closed)