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Topological Quantum Computing Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Wegner-Wilson loops in string nets

arXiv

Authors: A. Ritz-Zwilling, J. -N. Fuchs, J. Vidal

Year

2020

Paper ID

18999

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

We study the Wegner-Wilson loops in the string-net model of Levin and Wen in the presence of a string tension. The latter is responsible for a phase transition from a topological deconfined phase (weak tension) to a trivial confined phase (strong tension). We analyze the behavior of all Wegner-Wilson loops in both limiting cases for an arbitrary input theory of the string-net model. Using a fluxon picture, we compute perturbatively the first contributions to a perimeter law in the topological phase as a function of the quantum dimensions. In the trivial phase, we find that Wegner-Wilson loops obey a modified area law, in agreement with a recent mean-field approach.

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We study the Wegner-Wilson loops in the string-net model of Levin and Wen in the presence of a string tension.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2011.12609 [2] arXiv https://arxiv.org/abs/2011.12609 [3] Publisher https://arxiv.org/abs/2011.12609

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