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• W2065035260 abstract "We study the stability of topological order against local perturbations by considering the effect of a magnetic field on a spin model--the toric code--which is in a topological phase. The model can be mapped onto a quantum loop gas where the perturbation introduces a bare loop tension. When the loop tension is small, the topological order survives. When it is large, it drives a continuous quantum phase transition into a magnetic state. The transition can be understood as the condensation of magnetic vortices, leading to confinement of the elementary charge excitations. We also show how the topological order breaks down when the system is coupled to an Ohmic heat bath and relate our results to error rates for topological quantum computations." @default.
• W2065035260 created "2016-06-24" @default.
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• W2065035260 date "2007-02-13" @default.
• W2065035260 modified "2023-10-16" @default.
• W2065035260 title "Breakdown of a Topological Phase: Quantum Phase Transition in a Loop Gas Model with Tension" @default.
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• W2065035260 doi "https://doi.org/10.1103/physrevlett.98.070602" @default.
• W2065035260 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17359006" @default.
• W2065035260 hasPublicationYear "2007" @default.
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