- Author
- Michaël Mariën (UGent) , Jutho Haegeman (UGent) , Paul Fendley and Frank Verstraete (UGent)
- Organization
- Project
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- QUTE (Quantum tensor networks and entanglement)
- Abstract
- We develop methods to probe the excitation spectrum of topological phases of matter in two spatial dimensions. Applying these to the Fibonacci string nets perturbed away from exact solvability, we analyze a topological phase transition driven by the condensation of non-Abelian anyons. Our numerical results illustrate how such phase transitions involve the spontaneous breaking of a topological symmetry, generalizing the traditional Landau paradigm. The main technical tool is the characterization of the ground states using tensor networks and the topological properties using matrix-product-operator symmetries. The topological phase transition manifests itself by symmetry breaking in the entanglement degrees of freedom of the quantum transfer matrix.
- Keywords
- MATRIX PRODUCT STATES, RENORMALIZATION-GROUP, TOPOLOGICAL ORDER, POTTS-MODEL, QUANTUM, ANYONS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8536702
- MLA
- Mariën, Michaël, et al. “Condensation-Driven Phase Transitions in Perturbed String Nets.” PHYSICAL REVIEW B, vol. 96, no. 15, 2017, doi:10.1103/PhysRevB.96.155127.
- APA
- Mariën, M., Haegeman, J., Fendley, P., & Verstraete, F. (2017). Condensation-driven phase transitions in perturbed string nets. PHYSICAL REVIEW B, 96(15). https://doi.org/10.1103/PhysRevB.96.155127
- Chicago author-date
- Mariën, Michaël, Jutho Haegeman, Paul Fendley, and Frank Verstraete. 2017. “Condensation-Driven Phase Transitions in Perturbed String Nets.” PHYSICAL REVIEW B 96 (15). https://doi.org/10.1103/PhysRevB.96.155127.
- Chicago author-date (all authors)
- Mariën, Michaël, Jutho Haegeman, Paul Fendley, and Frank Verstraete. 2017. “Condensation-Driven Phase Transitions in Perturbed String Nets.” PHYSICAL REVIEW B 96 (15). doi:10.1103/PhysRevB.96.155127.
- Vancouver
- 1.Mariën M, Haegeman J, Fendley P, Verstraete F. Condensation-driven phase transitions in perturbed string nets. PHYSICAL REVIEW B. 2017;96(15).
- IEEE
- [1]M. Mariën, J. Haegeman, P. Fendley, and F. Verstraete, “Condensation-driven phase transitions in perturbed string nets,” PHYSICAL REVIEW B, vol. 96, no. 15, 2017.
@article{8536702, abstract = {{We develop methods to probe the excitation spectrum of topological phases of matter in two spatial dimensions. Applying these to the Fibonacci string nets perturbed away from exact solvability, we analyze a topological phase transition driven by the condensation of non-Abelian anyons. Our numerical results illustrate how such phase transitions involve the spontaneous breaking of a topological symmetry, generalizing the traditional Landau paradigm. The main technical tool is the characterization of the ground states using tensor networks and the topological properties using matrix-product-operator symmetries. The topological phase transition manifests itself by symmetry breaking in the entanglement degrees of freedom of the quantum transfer matrix.}}, articleno = {{155127}}, author = {{Mariën, Michaël and Haegeman, Jutho and Fendley, Paul and Verstraete, Frank}}, issn = {{2469-9950}}, journal = {{PHYSICAL REVIEW B}}, keywords = {{MATRIX PRODUCT STATES,RENORMALIZATION-GROUP,TOPOLOGICAL ORDER,POTTS-MODEL,QUANTUM,ANYONS}}, language = {{eng}}, number = {{15}}, pages = {{9}}, title = {{Condensation-driven phase transitions in perturbed string nets}}, url = {{http://doi.org/10.1103/PhysRevB.96.155127}}, volume = {{96}}, year = {{2017}}, }
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