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It is well-known that many topological phase transitions of intrinsic Abelian topological phases are accompanied by condensation and confinement of anyons.
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M. Mariën, J. Haegeman, P. Fendley, and F. Verstraete, Condensation-driven phase transitions in perturbed string nets, Phys. Rev. B 96
2017
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2017
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2017
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J. Garre-Rubio, S. Iblisdir, and D. Pérez-García, Symmetry reduction induced by anyon condensation: A tensor network approach, Phys. Rev. B 96
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2017
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W.-T. Xu and G.-M. Zhang, Tensor network state approach to quantum topological phase transitions and their criticalities of ℤ 2 \mathbb{Z}_{2} topologically ordered states, Phys. Rev. B 98
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A. Francuz, J. Dziarmaga, G. Vidal, and L. Cincio, Determining topological order from infinite projected entangled pair states, Phys. Rev. B 101
2020
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2021
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W.-T. Xu and N. Schuch, Characterization of topological phase transitions from a non-abelian topological state and its galois conjugate through condensation and confinement order parameters, Phys. Rev. B 104
2021
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2021
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M. B. Şahinoğlu, D. Williamson, N. Bultinck, M. Mariën, J. Haegeman, N. Schuch, and F. Verstraete, Characterizing topological order with matrix product operators, in Annales Henri Poincaré , Vol. 22 (Springer, 2021) pp. 563–592
2021
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J. I. Cirac, D. Pérez-García, N. Schuch, and F. Verstraete, Matrix product states and projected entangled pair states: Concepts, symmetries, theorems, Rev. Mod. Phys. 93
2021
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L. Lootens, B. Vancraeynest-De Cuiper, N. Schuch, and F. Verstraete, Mapping between morita-equivalent string-net states with a constant depth quantum circuit, Phys. Rev. B 105
2022
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A. Schotte, G. Zhu, L. Burgelman, and F. Verstraete, Quantum error correction thresholds for the universal fibonacci turaev-viro code, Phys. Rev. X 12
2022
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