The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Interacting Anyons in Topological Quantum Liquids: The Golden Chain
Open accessAbstract
We discuss generalizations of quantum spin Hamiltonians using anyonic degrees of freedom. The simplest model for interacting anyons energetically favors neighboring anyons to fuse into the trivial ("identity") channel, similar to the quantum Heisenberg model favoring neighboring spins to form spin singlets. Numerical simulations of a chain of Fibonacci anyons show that the model is critical with a dynamical critical exponent z=1, and described by a two-dimensional (2D) conformal field theory with central charge c=7/10. An exact mapping of the anyonic chain onto the 2D tricritical Ising model is given using the restricted-solid-on-solid representation of the Temperley-Lieb algebra. The gaplessness of the chain is shown to have topological origin.
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Cites
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Cited by
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Self-citationProbing many-body dynamics on a 51-atom quantum simulator
Bernien, H., Schwartz, S., Keesling, A., Levine, H., Omran, A., Pichler, H., Choi, S., Zibrov, A. S., Endres, M., Greiner, M., et al. (2017) · Nature · doi:10.1038/nature24622 · Cited by 2,460
Quantum convolutional neural networks
Cong, I., Choi, S., & Lukin, M. D. (2019) · Nature Physics · doi:10.1038/s41567-019-0648-8 · Cited by 1,517
Weak ergodicity breaking from quantum many-body scars
Turner, C. J., Michailidis, A. A., Abanin, D. A., Serbyn, M., & Papić, Z. (2018) · Nature Physics · doi:10.1038/s41567-018-0137-5 · Cited by 988
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Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
Metadata
- Authors
- Feiguin, A., Trebst, S., Ludwig, A. W. W., Troyer, M., Kitaev, A., Wang, Z., & Freedman, M. H.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-04-20
- Volume
- 98
- Issue
- 16
- Pages
- 160409-160409
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2151642301
- Cited by
- 386
- References
- 28
- FWCI
- 10.39
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Feiguin, A., Trebst, S., Ludwig, A. W. W., Troyer, M., Kitaev, A., Wang, Z., & Freedman, M. H. (2007). Interacting Anyons in Topological Quantum Liquids: The Golden Chain. Physical Review Letters. https://doi.org/10.1103/physrevlett.98.160409
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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