Details
| Original language | English |
|---|---|
| Article number | 235147 |
| Journal | Physical Review B |
| Volume | 98 |
| Issue number | 23 |
| Publication status | Published - 21 Dec 2018 |
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.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 98, No. 23, 235147, 21.12.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Robustness of topological order in the toric code with open boundaries
AU - Jamadagni, Amit
AU - Weimer, Hendrik
AU - Bhattacharyya, Arpan
N1 - Funding information: We thank Ling-Yan Hung for fruitful discussions. This work was funded by the Volkswagen Foundation, by the DFG within SFB 1227 (DQ-mat) and SPP 1929 (GiRyd), by the Thousand Young Talents Program, and by the JSPS Grant-In Aid within a JSPS fellowship (P17023).
PY - 2018/12/21
Y1 - 2018/12/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85058969101&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1804.09718
DO - 10.48550/arXiv.1804.09718
M3 - Article
AN - SCOPUS:85058969101
VL - 98
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 23
M1 - 235147
ER -