Robustness of topological order in the toric code with open boundaries

Amit Jamadagni, Hendrik Weimer, Arpan Bhattacharyya

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

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.

Original languageEnglish
Article number235147
JournalPhysical Review B
Volume98
Issue number23
DOIs
StatePublished - Dec 21 2018
Externally publishedYes

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