Family of non-Abelian Kitaev models on a lattice: Topological condensation and confinement
By H. Bombin, Miguel Angel Martin-Delgado. 2007
146 citations recorded by the source corpus.
We study a family of non-Abelian topological models in a lattice that arise by modifying the Kitaev model through the introduction of single-qudit terms. The effect of these terms amounts to a reduction in the discrete gauge symmetry with respect to the original systems, which corresponds to a generalized mechanism of explicit symmetry breaking. The topological order is either partially lost or completely destroyed throughout the various models. The systems display condensation and confinement of the topological charges present in the standard non-Abelian Kitaev models, which we study in terms of ribbon operator algebras.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/974154ed18100d24707112bf95fcc644bb36555f
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In Atomic and Molecular Physics, and Optics
- Salman Beigi
- Peter W. Shor
- Daniel Whalen
- Liang Kong
- Renato Renner
- Andreas J. Winter
- Mark M. Wilde
- Karol Zyczkowski
Citations in the corpus
- The Quantum Double Model with Boundary: Condensations and Symmetries (2010, methodology): “Expanding 〈χA(K ), χ(a,π)〉, it is easy to see that the condensed anyons in our model coincide with those in the model proposed in [2].”